551716398090 has 256 divisors, whose sum is σ = 1830130122240. Its totient is φ = 116198461440.

The previous prime is 551716398067. The next prime is 551716398119. The reversal of 551716398090 is 90893617155.

551716398090 is a `hidden beast` number, since 5 + 517 + 1 + 6 + 39 + 8 + 0 + 90 = 666.

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

It is a Curzon number.

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, 236092 + ... + 1076648.

It is an arithmetic number, because the mean of its divisors is an integer number (7148945790).

Almost surely, 2^551716398090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551716398090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915065061120).

551716398090 is an abundant number, since it is smaller than the sum of its proper divisors (1278413724150).

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

551716398090 is a wasteful number, since it uses less digits than its factorization.

551716398090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840614 (or 840608 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 551716398090 in words is "five hundred fifty-one billion, seven hundred sixteen million, three hundred ninety-eight thousand, ninety".