551657272320 has 2112 divisors, whose sum is σ = 2575093248000. Its totient is φ = 107946639360.

The previous prime is 551657272319. The next prime is 551657272367. The reversal of 551657272320 is 23272756155.

551657272320 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 57 + 272 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×551657272320² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3303336877 + ... + 3303337043.

Almost surely, 2^551657272320 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 551657272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287546624000).

551657272320 is an abundant number, since it is smaller than the sum of its proper divisors (2023435975680).

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

551657272320 is a wasteful number, since it uses less digits than its factorization.

551657272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 551657272320 in words is "five hundred fifty-one billion, six hundred fifty-seven million, two hundred seventy-two thousand, three hundred twenty".