54006277537260 has 96 divisors (see below), whose sum is σ = 168020610508800. Its totient is φ = 14401581405120.

The previous prime is 54006277537253. The next prime is 54006277537271. The reversal of 54006277537260 is 6273577260045.

It is a happy number.

54006277537260 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 627 + 7 + 5 + 3 + 7 + 2 + 6 + 0 = 666.

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 = 54006277537197 and 54006277537206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142052101 + ... + 142431779.

It is an arithmetic number, because the mean of its divisors is an integer number (1750214692800).

Almost surely, 2^{54006277537260} is an apocalyptic number.

It is an amenable number.

54006277537260 is an abundant number, since it is smaller than the sum of its proper divisors (114014332971540).

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

54006277537260 is a wasteful number, since it uses less digits than its factorization.

54006277537260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643108 (or 643100 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 54006277537260 in words is "fifty-four trillion, six billion, two hundred seventy-seven million, five hundred thirty-seven thousand, two hundred sixty".