54610355056320 has 168 divisors, whose sum is σ = 214670705312544. Its totient is φ = 12482366865408.

The previous prime is 54610355056319. The next prime is 54610355056333. The reversal of 54610355056320 is 2365055301645.

54610355056320 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 0 + 3 + 5 + 5 + 0 + 5 + 632 + 0 = 666.

54610355056320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354403329 + ... + 1354443648.

Almost surely, 2^{54610355056320} is an apocalyptic number.

It is an amenable number.

54610355056320 is an abundant number, since it is smaller than the sum of its proper divisors (160060350256224).

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

54610355056320 is a wasteful number, since it uses less digits than its factorization.

54610355056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708847007 (or 2708846994 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 54610355056320 in words is "fifty-four trillion, six hundred ten billion, three hundred fifty-five million, fifty-six thousand, three hundred twenty".