53978560 has 112 divisors (see below), whose sum is σ = 136209024. Its totient is φ = 20348928.

The previous prime is 53978549. The next prime is 53978579. The reversal of 53978560 is 6587935.

53978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556432 + ... + 556528.

It is an arithmetic number, because the mean of its divisors is an integer number (1216152).

Almost surely, 2^53978560 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 53978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512).

53978560 is an abundant number, since it is smaller than the sum of its proper divisors (82230464).

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

53978560 is a wasteful number, since it uses less digits than its factorization.

53978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 53978560 is about 7347.0102762961. The cubic root of 53978560 is about 377.9262848145.

The spelling of 53978560 in words is "fifty-three million, nine hundred seventy-eight thousand, five hundred sixty".