54918804695040 has 1536 divisors, whose sum is σ = 229883209920000. Its totient is φ = 12260883824640.

The previous prime is 54918804695021. The next prime is 54918804695141. The reversal of 54918804695040 is 4059640881945.

54918804695040 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 8 + 80 + 46 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 20124148396 + ... + 20124151124.

It is an arithmetic number, because the mean of its divisors is an integer number (149663548125).

Almost surely, 2^{54918804695040} 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 54918804695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114941604960000).

54918804695040 is an abundant number, since it is smaller than the sum of its proper divisors (174964405224960).

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

54918804695040 is a wasteful number, since it uses less digits than its factorization.

54918804695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 54918804695040 in words is "fifty-four trillion, nine hundred eighteen billion, eight hundred four million, six hundred ninety-five thousand, forty".