10610890400 has 288 divisors, whose sum is σ = 29158133760. Its totient is φ = 3737984000.

The previous prime is 10610890369. The next prime is 10610890439. The reversal of 10610890400 is 409801601.

It is a super-2 number, since 2×10610890400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55554305 + ... + 55554495.

It is an arithmetic number, because the mean of its divisors is an integer number (101243520).

Almost surely, 2^10610890400 is an apocalyptic number.

10610890400 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 10610890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579066880).

10610890400 is an abundant number, since it is smaller than the sum of its proper divisors (18547243360).

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

10610890400 is a wasteful number, since it uses less digits than its factorization.

10610890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10610890400 in words is "ten billion, six hundred ten million, eight hundred ninety thousand, four hundred".