55879680 has 192 divisors, whose sum is σ = 191056320. Its totient is φ = 13893632.

The previous prime is 55879669. The next prime is 55879699. The reversal of 55879680 is 8697855.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 522187 + ... + 522293.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^55879680 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 55879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

55879680 is an abundant number, since it is smaller than the sum of its proper divisors (135176640).

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

55879680 is a wasteful number, since it uses less digits than its factorization.

55879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 55879680 is about 7475.2712325373. The cubic root of 55879680 is about 382.3120354615.

The spelling of 55879680 in words is "fifty-five million, eight hundred seventy-nine thousand, six hundred eighty".