99898401600 has 840 divisors, whose sum is σ = 383190036768. Its totient is φ = 25505280000.

The previous prime is 99898401599. The next prime is 99898401623. The reversal of 99898401600 is 610489899.

99898401600 is a `hidden beast` number, since 9 + 98 + 98 + 401 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 398001475 + ... + 398001725.

Almost surely, 2^99898401600 is an apocalyptic number.

99898401600 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 99898401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191595018384).

99898401600 is an abundant number, since it is smaller than the sum of its proper divisors (283291635168).

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

99898401600 is a wasteful number, since it uses less digits than its factorization.

99898401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 99898401600 in words is "ninety-nine billion, eight hundred ninety-eight million, four hundred one thousand, six hundred".