99257241701376 has 3168 divisors, whose sum is σ = 369125311027200. Its totient is φ = 26486872473600.

The previous prime is 99257241701363. The next prime is 99257241701393. The reversal of 99257241701376 is 67310714275299.

99257241701376 is a `hidden beast` number, since 9 + 9 + 2 + 572 + 41 + 7 + 0 + 13 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 514286226336 + ... + 514286226528.

Almost surely, 2^{99257241701376} is an apocalyptic number.

99257241701376 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 99257241701376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184562655513600).

99257241701376 is an abundant number, since it is smaller than the sum of its proper divisors (269868069325824).

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

99257241701376 is a wasteful number, since it uses less digits than its factorization.

99257241701376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 99257241701376 in words is "ninety-nine trillion, two hundred fifty-seven billion, two hundred forty-one million, seven hundred one thousand, three hundred seventy-six".