54768713760 has 120 divisors (see below), whose sum is σ = 193287964716. Its totient is φ = 14604986880.

The previous prime is 54768713749. The next prime is 54768713789. The reversal of 54768713760 is 6731786745.

54768713760 is a `hidden beast` number, since 5 + 476 + 87 + 1 + 37 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50965771536 + 3802942224 = 225756^2 + 61668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×54768713760³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 54768713697 and 54768713706.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2100031 + ... + 2125950.

Almost surely, 2^54768713760 is an apocalyptic number.

It is an amenable number.

54768713760 is an abundant number, since it is smaller than the sum of its proper divisors (138519250956).

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

54768713760 is a wasteful number, since it uses less digits than its factorization.

54768713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226008 (or 4225991 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 54768713760 in words is "fifty-four billion, seven hundred sixty-eight million, seven hundred thirteen thousand, seven hundred sixty".