54919735756960 has 96 divisors (see below), whose sum is σ = 131411386411200. Its totient is φ = 21688007577600.

The previous prime is 54919735756679. The next prime is 54919735756973. The reversal of 54919735756960 is 6965753791945.

54919735756960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54919735756960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916841 + ... + 10878760.

It is an arithmetic number, because the mean of its divisors is an integer number (1368868608450).

Almost surely, 2^{54919735756960} is an apocalyptic number.

It is an amenable number.

54919735756960 is an abundant number, since it is smaller than the sum of its proper divisors (76491650654240).

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

54919735756960 is a wasteful number, since it uses less digits than its factorization.

54919735756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795934 (or 13795926 counting only the distinct ones).

The product of its (nonzero) digits is 1928934000, while the sum is 76.

The spelling of 54919735756960 in words is "fifty-four trillion, nine hundred nineteen billion, seven hundred thirty-five million, seven hundred fifty-six thousand, nine hundred sixty".