99349286400 has 1620 divisors, whose sum is σ = 456896294712. Its totient is φ = 20961607680.

The previous prime is 99349286389. The next prime is 99349286411. The reversal of 99349286400 is 468294399.

99349286400 is a `hidden beast` number, since 9 + 93 + 492 + 8 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99349286389) and next prime (99349286411).

It is a tau number, because it is divible by the number of its divisors (1620).

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 161 ways as a sum of consecutive naturals, for example, 7642252794 + ... + 7642252806.

Almost surely, 2^99349286400 is an apocalyptic number.

99349286400 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 99349286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228448147356).

99349286400 is an abundant number, since it is smaller than the sum of its proper divisors (357547008312).

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

99349286400 is an frugal number, since it uses more digits than its factorization.

99349286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 99349286400 in words is "ninety-nine billion, three hundred forty-nine million, two hundred eighty-six thousand, four hundred".