55978560 has 448 divisors, whose sum is σ = 234086400. Its totient is φ = 12441600.

The previous prime is 55978537. The next prime is 55978577. The reversal of 55978560 is 6587955.

55978560 is a `hidden beast` number, since 5 + 597 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1805745 + ... + 1805775.

Almost surely, 2^55978560 is an apocalyptic number.

55978560 is the 4320-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117043200).

55978560 is an abundant number, since it is smaller than the sum of its proper divisors (178107840).

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

55978560 is a wasteful number, since it uses less digits than its factorization.

55978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55978560 is about 7481.8821161523. The cubic root of 55978560 is about 382.5374050310.

The spelling of 55978560 in words is "fifty-five million, nine hundred seventy-eight thousand, five hundred sixty".