551477825599680 has 1120 divisors, whose sum is σ = 2292772529203200. Its totient is φ = 123201765531648.

The previous prime is 551477825599639. The next prime is 551477825599711. The reversal of 551477825599680 is 86995528774155.

551477825599680 is a `hidden beast` number, since 5 + 5 + 1 + 477 + 8 + 2 + 5 + 59 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×551477825599680² (a number of 30 digits) contains 22 as substring.

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 551477825599680.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6301911766 + ... + 6301999274.

Almost surely, 2^{551477825599680} 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 551477825599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146386264601600).

551477825599680 is an abundant number, since it is smaller than the sum of its proper divisors (1741294703603520).

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

551477825599680 is a wasteful number, since it uses less digits than its factorization.

551477825599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88331 (or 88312 counting only the distinct ones).

The product of its (nonzero) digits is 7620480000, while the sum is 81.

The spelling of 551477825599680 in words is "five hundred fifty-one trillion, four hundred seventy-seven billion, eight hundred twenty-five million, five hundred ninety-nine thousand, six hundred eighty".