516640838400 has 324 divisors, whose sum is σ = 1848622649328. Its totient is φ = 137657917440.

The previous prime is 516640838383. The next prime is 516640838423. The reversal of 516640838400 is 4838046615.

516640838400 is a `hidden beast` number, since 5 + 166 + 4 + 0 + 83 + 8 + 400 = 666.

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 35 ways as a sum of consecutive naturals, for example, 88873894 + ... + 88879706.

Almost surely, 2^516640838400 is an apocalyptic number.

516640838400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516640838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924311324664).

516640838400 is an abundant number, since it is smaller than the sum of its proper divisors (1331981810928).

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

516640838400 is a wasteful number, since it uses less digits than its factorization.

516640838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 516640838400 in words is "five hundred sixteen billion, six hundred forty million, eight hundred thirty-eight thousand, four hundred".