99907315301376 has 1760 divisors, whose sum is σ = 353853019365120. Its totient is φ = 27862813900800.

The previous prime is 99907315301371. The next prime is 99907315301459. The reversal of 99907315301376 is 67310351370999.

99907315301376 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 7 + 315 + 301 + 3 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99907315301371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 155861646016 + ... + 155861646656.

It is an arithmetic number, because the mean of its divisors is an integer number (201052851912).

Almost surely, 2^{99907315301376} is an apocalyptic number.

99907315301376 is a gapful number since it is divisible by the number (96) 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 99907315301376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176926509682560).

99907315301376 is an abundant number, since it is smaller than the sum of its proper divisors (253945704063744).

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

99907315301376 is an equidigital number, since it uses as much as digits as its factorization.

99907315301376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 28934010, while the sum is 63.

The spelling of 99907315301376 in words is "ninety-nine trillion, nine hundred seven billion, three hundred fifteen million, three hundred one thousand, three hundred seventy-six".