551967999108480 has 896 divisors, whose sum is σ = 2043847686758400. Its totient is φ = 142331062947840.

The previous prime is 551967999108479. The next prime is 551967999108499. The reversal of 551967999108480 is 84801999769155.

551967999108480 is a `hidden beast` number, since 5 + 51 + 9 + 6 + 79 + 9 + 9 + 10 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 551967999108480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19192864341 + ... + 19192893099.

Almost surely, 2^{551967999108480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551967999108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021923843379200).

551967999108480 is an abundant number, since it is smaller than the sum of its proper divisors (1491879687649920).

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

551967999108480 is a wasteful number, since it uses less digits than its factorization.

551967999108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30154 (or 30127 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 81.

The spelling of 551967999108480 in words is "five hundred fifty-one trillion, nine hundred sixty-seven billion, nine hundred ninety-nine million, one hundred eight thousand, four hundred eighty".