99968507948400 has 1440 divisors, whose sum is σ = 407649964232448. Its totient is φ = 20753665228800.

The previous prime is 99968507948311. The next prime is 99968507948489. The reversal of 99968507948400 is 484970586999.

It is an interprime number because it is at equal distance from previous prime (99968507948311) and next prime (99968507948489).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16305413335 + ... + 16305419465.

Almost surely, 2^{99968507948400} 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 99968507948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203824982116224).

99968507948400 is an abundant number, since it is smaller than the sum of its proper divisors (307681456284048).

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

99968507948400 is a wasteful number, since it uses less digits than its factorization.

99968507948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 78.

The spelling of 99968507948400 in words is "ninety-nine trillion, nine hundred sixty-eight billion, five hundred seven million, nine hundred forty-eight thousand, four hundred".