54157393704960 has 3072 divisors, whose sum is σ = 255300304896000. Its totient is φ = 10573727662080.

The previous prime is 54157393704941. The next prime is 54157393704989. The reversal of 54157393704960 is 6940739375145.

It is a happy number.

54157393704960 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 73 + 9 + 3 + 70 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17938850331 + ... + 17938853349.

It is an arithmetic number, because the mean of its divisors is an integer number (83105568000).

Almost surely, 2^{54157393704960} 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 54157393704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127650152448000).

54157393704960 is an abundant number, since it is smaller than the sum of its proper divisors (201142911191040).

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

54157393704960 is a wasteful number, since it uses less digits than its factorization.

54157393704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 54157393704960 in words is "fifty-four trillion, one hundred fifty-seven billion, three hundred ninety-three million, seven hundred four thousand, nine hundred sixty".