9900877536000 has 864 divisors, whose sum is σ = 40304787134976. Its totient is φ = 2400192000000.

The previous prime is 9900877535947. The next prime is 9900877536019. The reversal of 9900877536000 is 6357780099.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85478125 + ... + 85593875.

It is an arithmetic number, because the mean of its divisors is an integer number (46649059184).

Almost surely, 2^{9900877536000} is an apocalyptic number.

9900877536000 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 9900877536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152393567488).

9900877536000 is an abundant number, since it is smaller than the sum of its proper divisors (30403909598976).

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

9900877536000 is a wasteful number, since it uses less digits than its factorization.

9900877536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115808 (or 115772 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 9900877536000 in words is "nine trillion, nine hundred billion, eight hundred seventy-seven million, five hundred thirty-six thousand".