506989626400 has 72 divisors (see below), whose sum is σ = 1310493662100. Its totient is φ = 190866677760.

The previous prime is 506989626397. The next prime is 506989626421. The reversal of 506989626400 is 4626989605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 158025330576 + 348964295824 = 397524^2 + 590732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18625725 + ... + 18652924.

Almost surely, 2^506989626400 is an apocalyptic number.

506989626400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506989626400 is an abundant number, since it is smaller than the sum of its proper divisors (803504035700).

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

506989626400 is a wasteful number, since it uses less digits than its factorization.

506989626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37278686 (or 37278673 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 506989626400 in words is "five hundred six billion, nine hundred eighty-nine million, six hundred twenty-six thousand, four hundred".