511980864560 has 320 divisors, whose sum is σ = 1381879554048. Its totient is φ = 174658560000.

The previous prime is 511980864557. The next prime is 511980864583. The reversal of 511980864560 is 65468089115.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186784790 + ... + 186787530.

Almost surely, 2^511980864560 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 511980864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690939777024).

511980864560 is an abundant number, since it is smaller than the sum of its proper divisors (869898689488).

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

511980864560 is a wasteful number, since it uses less digits than its factorization.

511980864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 511980864560 in words is "five hundred eleven billion, nine hundred eighty million, eight hundred sixty-four thousand, five hundred sixty".