99556210103040 has 1296 divisors, whose sum is σ = 372957690295008. Its totient is φ = 24430705901568.

The previous prime is 99556210103033. The next prime is 99556210103089. The reversal of 99556210103040 is 4030101265599.

99556210103040 is a `hidden beast` number, since 9 + 9 + 5 + 5 + 621 + 0 + 10 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×99556210103040² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 314057444962 + ... + 314057445278.

It is an arithmetic number, because the mean of its divisors is an integer number (287775995598).

Almost surely, 2^{99556210103040} is an apocalyptic number.

99556210103040 is a gapful number since it is divisible by the number (90) 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 99556210103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186478845147504).

99556210103040 is an abundant number, since it is smaller than the sum of its proper divisors (273401480191968).

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

99556210103040 is a wasteful number, since it uses less digits than its factorization.

99556210103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 99556210103040 in words is "ninety-nine trillion, five hundred fifty-six billion, two hundred ten million, one hundred three thousand, forty".