509090780160 has 880 divisors, whose sum is σ = 1947842271936. Its totient is φ = 126701273088.

The previous prime is 509090780147. The next prime is 509090780173. The reversal of 509090780160 is 61087090905.

509090780160 is a `hidden beast` number, since 509 + 0 + 9 + 0 + 7 + 80 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (509090780147) and next prime (509090780173).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1149188899 + ... + 1149189341.

Almost surely, 2^509090780160 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 509090780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973921135968).

509090780160 is an abundant number, since it is smaller than the sum of its proper divisors (1438751491776).

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

509090780160 is a wasteful number, since it uses less digits than its factorization.

509090780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 509090780160 in words is "five hundred nine billion, ninety million, seven hundred eighty thousand, one hundred sixty".