99937957248000 has 1408 divisors, whose sum is σ = 391764876871680. Its totient is φ = 25072312320000.

The previous prime is 99937957247981. The next prime is 99937957248007. The reversal of 99937957248000 is 84275973999.

99937957248000 is a `hidden beast` number, since 9 + 9 + 9 + 3 + 7 + 9 + 572 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99937957248000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99937957248007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4848757695 + ... + 4848778305.

Almost surely, 2^{99937957248000} is an apocalyptic number.

99937957248000 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 99937957248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195882438435840).

99937957248000 is an abundant number, since it is smaller than the sum of its proper divisors (291826919623680).

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

99937957248000 is a wasteful number, since it uses less digits than its factorization.

99937957248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20739 (or 20705 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 99937957248000 in words is "ninety-nine trillion, nine hundred thirty-seven billion, nine hundred fifty-seven million, two hundred forty-eight thousand".