55580179200 has 648 divisors, whose sum is σ = 227088465408. Its totient is φ = 11722014720.

The previous prime is 55580179181. The next prime is 55580179223. The reversal of 55580179200 is 297108555.

It is a super-2 number, since 2×55580179200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22712377 + ... + 22714823.

Almost surely, 2^55580179200 is an apocalyptic number.

55580179200 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 55580179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113544232704).

55580179200 is an abundant number, since it is smaller than the sum of its proper divisors (171508286208).

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

55580179200 is a wasteful number, since it uses less digits than its factorization.

55580179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 55580179200 in words is "fifty-five billion, five hundred eighty million, one hundred seventy-nine thousand, two hundred".