54140261760 has 512 divisors, whose sum is σ = 218658787200. Its totient is φ = 12542017536.

The previous prime is 54140261737. The next prime is 54140261801. The reversal of 54140261760 is 6716204145.

54140261760 is a `hidden beast` number, since 541 + 40 + 2 + 6 + 1 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3811792 + ... + 3825968.

Almost surely, 2^54140261760 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 54140261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109329393600).

54140261760 is an abundant number, since it is smaller than the sum of its proper divisors (164518525440).

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

54140261760 is a wasteful number, since it uses less digits than its factorization.

54140261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14235 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 54140261760 in words is "fifty-four billion, one hundred forty million, two hundred sixty-one thousand, seven hundred sixty".