553291912200 has 192 divisors, whose sum is σ = 1778146905600. Its totient is φ = 142171084800.

The previous prime is 553291912163. The next prime is 553291912219. The reversal of 553291912200 is 2219192355.

It is a super-2 number, since 2×553291912200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269966 + ... + 4397634.

It is an arithmetic number, because the mean of its divisors is an integer number (9261181800).

Almost surely, 2^553291912200 is an apocalyptic number.

553291912200 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 553291912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889073452800).

553291912200 is an abundant number, since it is smaller than the sum of its proper divisors (1224854993400).

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

553291912200 is a wasteful number, since it uses less digits than its factorization.

553291912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127952 (or 127943 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 553291912200 in words is "five hundred fifty-three billion, two hundred ninety-one million, nine hundred twelve thousand, two hundred".