99970751462400 has 6336 divisors, whose sum is σ = 481332614963200. Its totient is φ = 19664496230400.

The previous prime is 99970751462381. The next prime is 99970751462401. The reversal of 99970751462400 is 426415707999.

99970751462400 is a `hidden beast` number, since 9 + 9 + 9 + 70 + 7 + 514 + 6 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×99970751462400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99970751462401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1369462348764 + ... + 1369462348836.

Almost surely, 2^{99970751462400} is an apocalyptic number.

99970751462400 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 99970751462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240666307481600).

99970751462400 is an abundant number, since it is smaller than the sum of its proper divisors (381361863500800).

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

99970751462400 is a wasteful number, since it uses less digits than its factorization.

99970751462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 99970751462400 in words is "ninety-nine trillion, nine hundred seventy billion, seven hundred fifty-one million, four hundred sixty-two thousand, four hundred".