54901834560 has 896 divisors, whose sum is σ = 219104870400. Its totient is φ = 12859637760.

The previous prime is 54901834529. The next prime is 54901834567. The reversal of 54901834560 is 6543810945.

54901834560 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 1 + 83 + 4 + 560 = 666.

It is a super-2 number, since 2×54901834560² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54901834567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287444065 + ... + 287444255.

Almost surely, 2^54901834560 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 54901834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109552435200).

54901834560 is an abundant number, since it is smaller than the sum of its proper divisors (164203035840).

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

54901834560 is a wasteful number, since it uses less digits than its factorization.

54901834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54901834560 in words is "fifty-four billion, nine hundred one million, eight hundred thirty-four thousand, five hundred sixty".