99618624800 has 54 divisors (see below), whose sum is σ = 243215763273. Its totient is φ = 39843879040.

The previous prime is 99618624793. The next prime is 99618624817. The reversal of 99618624800 is 842681699.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97626252304 + 1992372496 = 312452^2 + 44636^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223180.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8921621 + ... + 8932779.

Almost surely, 2^99618624800 is an apocalyptic number.

It is an amenable number.

99618624800 is an abundant number, since it is smaller than the sum of its proper divisors (143597138473).

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

99618624800 is an frugal number, since it uses more digits than its factorization.

99618624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22338 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 99618624800 in words is "ninety-nine billion, six hundred eighteen million, six hundred twenty-four thousand, eight hundred".