99891513000 has 192 divisors, whose sum is σ = 337876643520. Its totient is φ = 26618544000.

The previous prime is 99891512993. The next prime is 99891513019. The reversal of 99891513000 is 31519899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16079895 + ... + 16086105.

It is an arithmetic number, because the mean of its divisors is an integer number (1759774185).

Almost surely, 2^99891513000 is an apocalyptic number.

99891513000 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 99891513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168938321760).

99891513000 is an abundant number, since it is smaller than the sum of its proper divisors (237985130520).

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

99891513000 is a wasteful number, since it uses less digits than its factorization.

99891513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 99891513000 in words is "ninety-nine billion, eight hundred ninety-one million, five hundred thirteen thousand".