54109762560 has 1232 divisors, whose sum is σ = 236266377600. Its totient is φ = 11609505792.

The previous prime is 54109762543. The next prime is 54109762561. The reversal of 54109762560 is 6526790145.

54109762560 is a `hidden beast` number, since 5 + 4 + 10 + 9 + 7 + 625 + 6 + 0 = 666.

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 (54109762561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 496419786 + ... + 496419894.

Almost surely, 2^54109762560 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 54109762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118133188800).

54109762560 is an abundant number, since it is smaller than the sum of its proper divisors (182156615040).

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

54109762560 is a wasteful number, since it uses less digits than its factorization.

54109762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54109762560 in words is "fifty-four billion, one hundred nine million, seven hundred sixty-two thousand, five hundred sixty".