61553408399712 has 192 divisors, whose sum is σ = 186967955160000. Its totient is φ = 19677336182784.

The previous prime is 61553408399629. The next prime is 61553408399731. The reversal of 61553408399712 is 21799380435516.

61553408399712 is a `hidden beast` number, since 6 + 1 + 5 + 534 + 0 + 8 + 3 + 9 + 97 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61553408399712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4510393 + ... + 11977080.

It is an arithmetic number, because the mean of its divisors is an integer number (973791433125).

It is a 1-persistent number, because it is pandigital, but 2⋅61553408399712 = 123106816799424 is not.

Almost surely, 2^{61553408399712} is an apocalyptic number.

It is an amenable number.

61553408399712 is an abundant number, since it is smaller than the sum of its proper divisors (125414546760288).

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

61553408399712 is a wasteful number, since it uses less digits than its factorization.

61553408399712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16487670 (or 16487656 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 61553408399712 in words is "sixty-one trillion, five hundred fifty-three billion, four hundred eight million, three hundred ninety-nine thousand, seven hundred twelve".