551921428800 has 2016 divisors, whose sum is σ = 2509359390720. Its totient is φ = 116453376000.

The previous prime is 551921428763. The next prime is 551921428813. The reversal of 551921428800 is 8824129155.

551921428800 is a `hidden beast` number, since 551 + 9 + 2 + 14 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 3655108725 + ... + 3655108875.

It is an arithmetic number, because the mean of its divisors is an integer number (1244721920).

Almost surely, 2^551921428800 is an apocalyptic number.

551921428800 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 551921428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254679695360).

551921428800 is an abundant number, since it is smaller than the sum of its proper divisors (1957437961920).

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

551921428800 is a wasteful number, since it uses less digits than its factorization.

551921428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

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

The spelling of 551921428800 in words is "five hundred fifty-one billion, nine hundred twenty-one million, four hundred twenty-eight thousand, eight hundred".