55291200 has 84 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 14743040.

The previous prime is 55291189. The next prime is 55291211. The reversal of 55291200 is 219255.

It is an interprime number because it is at equal distance from previous prime (55291189) and next prime (55291211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 960 + ... + 10559.

Almost surely, 2^55291200 is an apocalyptic number.

55291200 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 55291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

55291200 is an abundant number, since it is smaller than the sum of its proper divisors (126125760).

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

55291200 is a wasteful number, since it uses less digits than its factorization.

55291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55291200 is about 7435.8052691017. The cubic root of 55291200 is about 380.9652285350.

The spelling of 55291200 in words is "fifty-five million, two hundred ninety-one thousand, two hundred".