55317292800 has 1728 divisors, whose sum is σ = 252271853568. Its totient is φ = 10321920000.

The previous prime is 55317292787. The next prime is 55317292813. The reversal of 55317292800 is 829271355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55317292787) and next prime (55317292813).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 779116765 + ... + 779116835.

It is an arithmetic number, because the mean of its divisors is an integer number (145990656).

Almost surely, 2^55317292800 is an apocalyptic number.

55317292800 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 55317292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126135926784).

55317292800 is an abundant number, since it is smaller than the sum of its proper divisors (196954560768).

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

55317292800 is a wasteful number, since it uses less digits than its factorization.

55317292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 55317292800 in words is "fifty-five billion, three hundred seventeen million, two hundred ninety-two thousand, eight hundred".