99087488640000 has 2640 divisors, whose sum is σ = 433833316899840. Its totient is φ = 21284904960000.

The previous prime is 99087488639999. The next prime is 99087488640029. The reversal of 99087488640000 is 4688478099.

99087488640000 is a `hidden beast` number, since 9 + 90 + 8 + 7 + 488 + 64 + 0 + 0 + 0 + 0 = 666.

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 99087488640000.

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, 54714239095 + ... + 54714240905.

It is an arithmetic number, because the mean of its divisors is an integer number (164330801856).

Almost surely, 2^{99087488640000} is an apocalyptic number.

99087488640000 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 99087488640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216916658449920).

99087488640000 is an abundant number, since it is smaller than the sum of its proper divisors (334745828259840).

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

99087488640000 is a wasteful number, since it uses less digits than its factorization.

99087488640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 99087488640000 in words is "ninety-nine trillion, eighty-seven billion, four hundred eighty-eight million, six hundred forty thousand".