99075017279880 has 320 divisors, whose sum is σ = 333368922744000. Its totient is φ = 26390923476480.

The previous prime is 99075017279879. The next prime is 99075017279893. The reversal of 99075017279880 is 8897271057099.

99075017279880 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 501 + 7 + 27 + 98 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 99075017279799 and 99075017279808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15429839070 + ... + 15429845490.

It is an arithmetic number, because the mean of its divisors is an integer number (1041777883575).

Almost surely, 2^{99075017279880} is an apocalyptic number.

99075017279880 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 99075017279880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166684461372000).

99075017279880 is an abundant number, since it is smaller than the sum of its proper divisors (234293905464120).

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

99075017279880 is a wasteful number, since it uses less digits than its factorization.

99075017279880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 72.

The spelling of 99075017279880 in words is "ninety-nine trillion, seventy-five billion, seventeen million, two hundred seventy-nine thousand, eight hundred eighty".