55158400 has 96 divisors (see below), whose sum is σ = 148740480. Its totient is φ = 20044800.

The previous prime is 55158359. The next prime is 55158413. The reversal of 55158400 is 485155.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34417 + ... + 35983.

It is an arithmetic number, because the mean of its divisors is an integer number (1549380).

Almost surely, 2^55158400 is an apocalyptic number.

55158400 is a gapful number since it is divisible by the number (50) 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 55158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

55158400 is an abundant number, since it is smaller than the sum of its proper divisors (93582080).

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

55158400 is a wasteful number, since it uses less digits than its factorization.

55158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 55158400 is about 7426.8701348549. The cubic root of 55158400 is about 380.6599795920.

The spelling of 55158400 in words is "fifty-five million, one hundred fifty-eight thousand, four hundred".