551907707788800 has 4800 divisors, whose sum is σ = 2367263199172608. Its totient is φ = 125769646080000.

The previous prime is 551907707788721. The next prime is 551907707788903. The reversal of 551907707788800 is 8887707709155.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3385936857519 + ... + 3385936857681.

Almost surely, 2^{551907707788800} is an apocalyptic number.

551907707788800 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 551907707788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183631599586304).

551907707788800 is an abundant number, since it is smaller than the sum of its proper divisors (1815355491383808).

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

551907707788800 is a wasteful number, since it uses less digits than its factorization.

551907707788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 276595200, while the sum is 72.

The spelling of 551907707788800 in words is "five hundred fifty-one trillion, nine hundred seven billion, seven hundred seven million, seven hundred eighty-eight thousand, eight hundred".