55586952 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 17354304.

The previous prime is 55586941. The next prime is 55586953. The reversal of 55586952 is 25968555.

55586952 is a `hidden beast` number, since 5 + 558 + 6 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55586898 and 55586907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55586953) 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, 332773 + ... + 332939.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^55586952 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 55586952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

55586952 is an abundant number, since it is smaller than the sum of its proper divisors (108918648).

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

55586952 is a wasteful number, since it uses less digits than its factorization.

55586952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 55586952 is about 7455.6657650407. The cubic root of 55586952 is about 381.6432805623.

The spelling of 55586952 in words is "fifty-five million, five hundred eighty-six thousand, nine hundred fifty-two".