10610058201120 has 768 divisors, whose sum is σ = 43619492044800. Its totient is φ = 2357867335680.

The previous prime is 10610058201097. The next prime is 10610058201121. The reversal of 10610058201120 is 2110285001601.

10610058201120 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 0 + 582 + 0 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×10610058201120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10610058201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2048666691 + ... + 2048671869.

It is an arithmetic number, because the mean of its divisors is an integer number (56796213600).

Almost surely, 2^{10610058201120} is an apocalyptic number.

10610058201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10610058201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21809746022400).

10610058201120 is an abundant number, since it is smaller than the sum of its proper divisors (33009433843680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10610058201120 is a wasteful number, since it uses less digits than its factorization.

10610058201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10610058201120 in words is "ten trillion, six hundred ten billion, fifty-eight million, two hundred one thousand, one hundred twenty".