55906512 has 80 divisors (see below), whose sum is σ = 154752000. Its totient is φ = 17338752.

The previous prime is 55906511. The next prime is 55906553. The reversal of 55906512 is 21560955.

It is a super-2 number, since 2×55906512² = 6251076168012288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55906511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53289 + ... + 54327.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^55906512 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 55906512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376000).

55906512 is an abundant number, since it is smaller than the sum of its proper divisors (98845488).

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

55906512 is a wasteful number, since it uses less digits than its factorization.

55906512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 55906512 is about 7477.0657346315. The cubic root of 55906512 is about 382.3732178392.

The spelling of 55906512 in words is "fifty-five million, nine hundred six thousand, five hundred twelve".