99887538039120 has 960 divisors, whose sum is σ = 373125095965440. Its totient is φ = 23794225348608.

The previous prime is 99887538039007. The next prime is 99887538039169. The reversal of 99887538039120 is 2193083578899.

99887538039120 is a `hidden beast` number, since 9 + 9 + 8 + 87 + 538 + 0 + 3 + 9 + 1 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19558943607 + ... + 19558948713.

It is an arithmetic number, because the mean of its divisors is an integer number (388671974964).

Almost surely, 2^{99887538039120} is an apocalyptic number.

99887538039120 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 99887538039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186562547982720).

99887538039120 is an abundant number, since it is smaller than the sum of its proper divisors (273237557926320).

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

99887538039120 is a wasteful number, since it uses less digits than its factorization.

99887538039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 99887538039120 in words is "ninety-nine trillion, eight hundred eighty-seven billion, five hundred thirty-eight million, thirty-nine thousand, one hundred twenty".