551902053185664 has 256 divisors, whose sum is σ = 1561659886080000. Its totient is φ = 172200015396864.

The previous prime is 551902053185647. The next prime is 551902053185671. The reversal of 551902053185664 is 466581350209155.

It is a junction number, because it is equal to n+sod(n) for n = 551902053185598 and 551902053185607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423268537 + ... + 424570439.

It is an arithmetic number, because the mean of its divisors is an integer number (6100233930000).

Almost surely, 2^{551902053185664} 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 551902053185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780829943040000).

551902053185664 is an abundant number, since it is smaller than the sum of its proper divisors (1009757832894336).

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

551902053185664 is a wasteful number, since it uses less digits than its factorization.

551902053185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302635 (or 1302623 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 551902053185664 in words is "five hundred fifty-one trillion, nine hundred two billion, fifty-three million, one hundred eighty-five thousand, six hundred sixty-four".