55769280 has 224 divisors, whose sum is σ = 208141824. Its totient is φ = 12386304.

The previous prime is 55769261. The next prime is 55769281. The reversal of 55769280 is 8296755.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×55769280² = 6220425183436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (55769281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288864 + ... + 289056.

Almost surely, 2^55769280 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 55769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104070912).

55769280 is an abundant number, since it is smaller than the sum of its proper divisors (152372544).

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

55769280 is a wasteful number, since it uses less digits than its factorization.

55769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 55769280 is about 7467.8832342237. The cubic root of 55769280 is about 382.0600948921.

The spelling of 55769280 in words is "fifty-five million, seven hundred sixty-nine thousand, two hundred eighty".