61152926400 has 840 divisors, whose sum is σ = 237693067920. Its totient is φ = 15397724160.

The previous prime is 61152926399. The next prime is 61152926411. The reversal of 61152926400 is 462925116.

61152926400 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 2 + 9 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199195047 + ... + 199195353.

It is an arithmetic number, because the mean of its divisors is an integer number (282967938).

Almost surely, 2^61152926400 is an apocalyptic number.

61152926400 is a gapful number since it is divisible by the number (60) 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 61152926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118846533960).

61152926400 is an abundant number, since it is smaller than the sum of its proper divisors (176540141520).

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

61152926400 is a wasteful number, since it uses less digits than its factorization.

61152926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61152926400 in words is "sixty-one billion, one hundred fifty-two million, nine hundred twenty-six thousand, four hundred".