99926614389888 has 1920 divisors, whose sum is σ = 368115548866560. Its totient is φ = 26623182643200.

The previous prime is 99926614389863. The next prime is 99926614389913. The reversal of 99926614389888 is 88898341662999.

99926614389888 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 6 + 6 + 1 + 438 + 98 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (99926614389863) and next prime (99926614389913).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99926614389798 and 99926614389807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 191064271995 + ... + 191064272517.

It is an arithmetic number, because the mean of its divisors is an integer number (191726848368).

Almost surely, 2^{99926614389888} 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 99926614389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184057774433280).

99926614389888 is an abundant number, since it is smaller than the sum of its proper divisors (268188934476672).

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

99926614389888 is a wasteful number, since it uses less digits than its factorization.

99926614389888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1006 counting only the distinct ones).

The product of its digits is 23219011584, while the sum is 90.

The spelling of 99926614389888 in words is "ninety-nine trillion, nine hundred twenty-six billion, six hundred fourteen million, three hundred eighty-nine thousand, eight hundred eighty-eight".