516232932480 has 768 divisors, whose sum is σ = 1899052646400. Its totient is φ = 133960200192.

The previous prime is 516232932473. The next prime is 516232932491. The reversal of 516232932480 is 84239232615.

516232932480 is a `hidden beast` number, since 5 + 16 + 232 + 9 + 324 + 80 = 666.

It is a super-3 number, since 3×516232932480³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1165311139 + ... + 1165311581.

It is an arithmetic number, because the mean of its divisors is an integer number (2472724800).

Almost surely, 2^516232932480 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 516232932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949526323200).

516232932480 is an abundant number, since it is smaller than the sum of its proper divisors (1382819713920).

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

516232932480 is a wasteful number, since it uses less digits than its factorization.

516232932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 516232932480 in words is "five hundred sixteen billion, two hundred thirty-two million, nine hundred thirty-two thousand, four hundred eighty".