99126042980400 has 840 divisors, whose sum is σ = 361146505038176. Its totient is φ = 26132137574400.

The previous prime is 99126042980399. The next prime is 99126042980411. The reversal of 99126042980400 is 408924062199.

99126042980400 is a `hidden beast` number, since 9 + 9 + 1 + 2 + 604 + 29 + 8 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×99126042980400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19853000304 + ... + 19853005296.

Almost surely, 2^{99126042980400} is an apocalyptic number.

99126042980400 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 99126042980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180573252519088).

99126042980400 is an abundant number, since it is smaller than the sum of its proper divisors (262020462057776).

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

99126042980400 is a wasteful number, since it uses less digits than its factorization.

99126042980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 99126042980400 in words is "ninety-nine trillion, one hundred twenty-six billion, forty-two million, nine hundred eighty thousand, four hundred".