54764625262400 has 84 divisors (see below), whose sum is σ = 135499710653580. Its totient is φ = 21784823193600.

The previous prime is 54764625262309. The next prime is 54764625262421. The reversal of 54764625262400 is 426252646745.

It can be written as a sum of positive squares in 6 ways, for example, as 10815468761344 + 43949156501056 = 3288688^2 + 6629416^2 .

It is a super-2 number, since 2×54764625262400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94262585 + ... + 94841784.

It is an arithmetic number, because the mean of its divisors is an integer number (1613091793495).

Almost surely, 2^{54764625262400} is an apocalyptic number.

54764625262400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54764625262400 is an abundant number, since it is smaller than the sum of its proper divisors (80735085391180).

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

54764625262400 is a wasteful number, since it uses less digits than its factorization.

54764625262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189104572 (or 189104557 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 53.

The spelling of 54764625262400 in words is "fifty-four trillion, seven hundred sixty-four billion, six hundred twenty-five million, two hundred sixty-two thousand, four hundred".