54933689911680 has 1024 divisors, whose sum is σ = 204283806105600. Its totient is φ = 13934193868800.

The previous prime is 54933689911673. The next prime is 54933689911691. The reversal of 54933689911680 is 8611998633945.

54933689911680 is a `hidden beast` number, since 5 + 4 + 93 + 368 + 9 + 91 + 16 + 80 = 666.

It is a super-2 number, since 2×54933689911680² (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 = 54933689911599 and 54933689911608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12161540782 + ... + 12161545298.

It is an arithmetic number, because the mean of its divisors is an integer number (199495904400).

Almost surely, 2^{54933689911680} 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 54933689911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102141903052800).

54933689911680 is an abundant number, since it is smaller than the sum of its proper divisors (149350116193920).

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

54933689911680 is a wasteful number, since it uses less digits than its factorization.

54933689911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 54933689911680 in words is "fifty-four trillion, nine hundred thirty-three billion, six hundred eighty-nine million, nine hundred eleven thousand, six hundred eighty".