99089948160000 has 3120 divisors, whose sum is σ = 452093704080480. Its totient is φ = 21304442880000.

The previous prime is 99089948159971. The next prime is 99089948160029. The reversal of 99089948160000 is 6184998099.

99089948160000 is a `hidden beast` number, since 9 + 9 + 0 + 8 + 99 + 481 + 60 + 0 + 0 + 0 = 666.

99089948160000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (99089948159971) and next prime (99089948160029).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99089948160000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57576959140 + ... + 57576960860.

Almost surely, 2^{99089948160000} is an apocalyptic number.

99089948160000 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 99089948160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226046852040240).

99089948160000 is an abundant number, since it is smaller than the sum of its proper divisors (353003755920480).

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

99089948160000 is a wasteful number, since it uses less digits than its factorization.

99089948160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 99089948160000 in words is "ninety-nine trillion, eighty-nine billion, nine hundred forty-eight million, one hundred sixty thousand".