61524025665696 has 480 divisors, whose sum is σ = 214481098782720. Its totient is φ = 17092640217600.

The previous prime is 61524025665671. The next prime is 61524025665701. The reversal of 61524025665696 is 69656652042516.

61524025665696 is a `hidden beast` number, since 6 + 1 + 5 + 2 + 4 + 0 + 2 + 5 + 66 + 569 + 6 = 666.

It is a super-2 number, since 2×61524025665696² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14961795 + ... + 18625341.

It is an arithmetic number, because the mean of its divisors is an integer number (446835622464).

Almost surely, 2^{61524025665696} is an apocalyptic number.

61524025665696 is a gapful number since it is divisible by the number (66) 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 61524025665696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107240549391360).

61524025665696 is an abundant number, since it is smaller than the sum of its proper divisors (152957073117024).

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

61524025665696 is a wasteful number, since it uses less digits than its factorization.

61524025665696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663630 (or 3663613 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 61524025665696 in words is "sixty-one trillion, five hundred twenty-four billion, twenty-five million, six hundred sixty-five thousand, six hundred ninety-six".