552812198400 has 2160 divisors, whose sum is σ = 2605606043040. Its totient is φ = 110547763200.

The previous prime is 552812198363. The next prime is 552812198417. The reversal of 552812198400 is 4891218255.

552812198400 is a `hidden beast` number, since 5 + 5 + 28 + 1 + 219 + 8 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1800691047 + ... + 1800691353.

It is an arithmetic number, because the mean of its divisors is an integer number (1206299094).

Almost surely, 2^552812198400 is an apocalyptic number.

552812198400 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 552812198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302803021520).

552812198400 is an abundant number, since it is smaller than the sum of its proper divisors (2052793844640).

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

552812198400 is a wasteful number, since it uses less digits than its factorization.

552812198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 552812198400 in words is "five hundred fifty-two billion, eight hundred twelve million, one hundred ninety-eight thousand, four hundred".