61653321859968 has 160 divisors (see below), whose sum is σ = 184694386147920. Its totient is φ = 20415006720000.

The previous prime is 61653321859951. The next prime is 61653321859981. The reversal of 61653321859968 is 86995812335616.

61653321859968 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 3 + 3 + 21 + 8 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×61653321859968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61653321859896 and 61653321859905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18124833 + ... + 21255968.

Almost surely, 2^{61653321859968} is an apocalyptic number.

It is an amenable number.

61653321859968 is an abundant number, since it is smaller than the sum of its proper divisors (123041064287952).

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

61653321859968 is a wasteful number, since it uses less digits than its factorization.

61653321859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39380978 (or 39380957 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 61653321859968 in words is "sixty-one trillion, six hundred fifty-three billion, three hundred twenty-one million, eight hundred fifty-nine thousand, nine hundred sixty-eight".