501405906960 has 120 divisors (see below), whose sum is σ = 1924443643200. Its totient is φ = 114607063296.

The previous prime is 501405906943. The next prime is 501405907019. The reversal of 501405906960 is 69609504105.

It is a happy number.

501405906960 is a `hidden beast` number, since 50 + 1 + 4 + 0 + 590 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49737610 + ... + 49747689.

It is an arithmetic number, because the mean of its divisors is an integer number (16037030360).

Almost surely, 2^501405906960 is an apocalyptic number.

It is an amenable number.

501405906960 is an abundant number, since it is smaller than the sum of its proper divisors (1423037736240).

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

501405906960 is a wasteful number, since it uses less digits than its factorization.

501405906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99485325 (or 99485316 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 501405906960 in words is "five hundred one billion, four hundred five million, nine hundred six thousand, nine hundred sixty".