55581292800 has 1296 divisors, whose sum is σ = 237554170560. Its totient is φ = 12765081600.

The previous prime is 55581292769. The next prime is 55581292807. The reversal of 55581292800 is 829218555.

It is a happy number.

55581292800 is a `hidden beast` number, since 5 + 558 + 1 + 2 + 92 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55581292807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2925331191 + ... + 2925331209.

Almost surely, 2^55581292800 is an apocalyptic number.

55581292800 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 55581292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118777085280).

55581292800 is an abundant number, since it is smaller than the sum of its proper divisors (181972877760).

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

55581292800 is an equidigital number, since it uses as much as digits as its factorization.

55581292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 55581292800 in words is "fifty-five billion, five hundred eighty-one million, two hundred ninety-two thousand, eight hundred".