54387365760 has 1536 divisors, whose sum is σ = 248290358400. Its totient is φ = 11287019520.

The previous prime is 54387365713. The next prime is 54387365779. The reversal of 54387365760 is 6756378345.

54387365760 is a `hidden beast` number, since 5 + 4 + 38 + 7 + 36 + 576 + 0 = 666.

54387365760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54387365697 and 54387365706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 891596130 + ... + 891596190.

Almost surely, 2^54387365760 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 54387365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124145179200).

54387365760 is an abundant number, since it is smaller than the sum of its proper divisors (193902992640).

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

54387365760 is an equidigital number, since it uses as much as digits as its factorization.

54387365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 54387365760 in words is "fifty-four billion, three hundred eighty-seven million, three hundred sixty-five thousand, seven hundred sixty".