509090911680 has 224 divisors, whose sum is σ = 1770205248000. Its totient is φ = 123190530048.

The previous prime is 509090911669. The next prime is 509090911697. The reversal of 509090911680 is 86119090905.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 390621 + ... + 1082019.

It is an arithmetic number, because the mean of its divisors is an integer number (7902702000).

Almost surely, 2^509090911680 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 509090911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885102624000).

509090911680 is an abundant number, since it is smaller than the sum of its proper divisors (1261114336320).

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

509090911680 is a wasteful number, since it uses less digits than its factorization.

509090911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691491 (or 691481 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The spelling of 509090911680 in words is "five hundred nine billion, ninety million, nine hundred eleven thousand, six hundred eighty".