54779520 has 128 divisors (see below), whose sum is σ = 176941440. Its totient is φ = 14413824.

The previous prime is 54779479. The next prime is 54779533. The reversal of 54779520 is 2597745.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54779520² = 6001591622860800, which 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 15 ways as a sum of consecutive naturals, for example, 197622 + ... + 197898.

It is an arithmetic number, because the mean of its divisors is an integer number (1382355).

Almost surely, 2^54779520 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 54779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88470720).

54779520 is an abundant number, since it is smaller than the sum of its proper divisors (122161920).

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

54779520 is a wasteful number, since it uses less digits than its factorization.

54779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 54779520 is about 7401.3188014029. The cubic root of 54779520 is about 379.7863988845.

The spelling of 54779520 in words is "fifty-four million, seven hundred seventy-nine thousand, five hundred twenty".