99997934400 has 1680 divisors, whose sum is σ = 463114664320. Its totient is φ = 20603289600.

The previous prime is 99997934359. The next prime is 99997934411. The reversal of 99997934400 is 443979999.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 719409531 + ... + 719409669.

Almost surely, 2^99997934400 is an apocalyptic number.

99997934400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 316224×316225.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99997934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231557332160).

99997934400 is an abundant number, since it is smaller than the sum of its proper divisors (363116729920).

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

99997934400 is a wasteful number, since it uses less digits than its factorization.

99997934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 99997934400 in words is "ninety-nine billion, nine hundred ninety-seven million, nine hundred thirty-four thousand, four hundred".