61725574012032 has 512 divisors, whose sum is σ = 211161857702400. Its totient is φ = 17385354362880.

The previous prime is 61725574012007. The next prime is 61725574012097. The reversal of 61725574012032 is 23021047552716.

61725574012032 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 557 + 40 + 1 + 20 + 32 = 666.

It is a super-2 number, since 2×61725574012032² (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 63 ways as a sum of consecutive naturals, for example, 3922313668 + ... + 3922329404.

It is an arithmetic number, because the mean of its divisors is an integer number (412425503325).

Almost surely, 2^{61725574012032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61725574012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105580928851200).

61725574012032 is an abundant number, since it is smaller than the sum of its proper divisors (149436283690368).

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

61725574012032 is a wasteful number, since it uses less digits than its factorization.

61725574012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18061 (or 18043 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 61725574012032 in words is "sixty-one trillion, seven hundred twenty-five billion, five hundred seventy-four million, twelve thousand, thirty-two".