55892512 has 96 divisors (see below), whose sum is σ = 126690480. Its totient is φ = 24084480.

The previous prime is 55892401. The next prime is 55892513. The reversal of 55892512 is 21529855.

It can be written as a sum of positive squares in 8 ways, for example, as 1936 + 55890576 = 44^2 + 7476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55892513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494568 + ... + 494680.

Almost surely, 2^55892512 is an apocalyptic number.

55892512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55892512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345240).

55892512 is an abundant number, since it is smaller than the sum of its proper divisors (70797968).

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

55892512 is a wasteful number, since it uses less digits than its factorization.

55892512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 36000, while the sum is 37.

The square root of 55892512 is about 7476.1294798846. The cubic root of 55892512 is about 382.3412974554.

The spelling of 55892512 in words is "fifty-five million, eight hundred ninety-two thousand, five hundred twelve".