55675342800 has 1620 divisors, whose sum is σ = 263990082720. Its totient is φ = 10606464000.

The previous prime is 55675342787. The next prime is 55675342813. The reversal of 55675342800 is 824357655.

55675342800 is a `hidden beast` number, since 5 + 567 + 5 + 3 + 4 + 2 + 80 + 0 = 666.

55675342800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55675342787) and next prime (55675342813).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1795978785 + ... + 1795978815.

Almost surely, 2^55675342800 is an apocalyptic number.

55675342800 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 55675342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131995041360).

55675342800 is an abundant number, since it is smaller than the sum of its proper divisors (208314739920).

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

55675342800 is a wasteful number, since it uses less digits than its factorization.

55675342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55675342800 in words is "fifty-five billion, six hundred seventy-five million, three hundred forty-two thousand, eight hundred".