551599006464 has 1152 divisors, whose sum is σ = 1961455104000. Its totient is φ = 151090790400.

The previous prime is 551599006457. The next prime is 551599006561. The reversal of 551599006464 is 464600995155.

551599006464 is a `hidden beast` number, since 5 + 5 + 1 + 599 + 0 + 0 + 6 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×551599006464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 551599006464.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3968338107 + ... + 3968338245.

It is an arithmetic number, because the mean of its divisors is an integer number (1702652000).

Almost surely, 2^551599006464 is an apocalyptic number.

551599006464 is a gapful number since it is divisible by the number (54) 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 551599006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980727552000).

551599006464 is an abundant number, since it is smaller than the sum of its proper divisors (1409856097536).

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

551599006464 is a wasteful number, since it uses less digits than its factorization.

551599006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 551599006464 in words is "five hundred fifty-one billion, five hundred ninety-nine million, six thousand, four hundred sixty-four".