99870068136960 has 1760 divisors, whose sum is σ = 409167573990912. Its totient is φ = 23152364421120.

The previous prime is 99870068136931. The next prime is 99870068136961. The reversal of 99870068136960 is 6963186007899.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-3 number, since 3×99870068136960³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99870068136961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25496568922 + ... + 25496572838.

Almost surely, 2^{99870068136960} is an apocalyptic number.

99870068136960 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 99870068136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204583786995456).

99870068136960 is an abundant number, since it is smaller than the sum of its proper divisors (309297505853952).

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

99870068136960 is an equidigital number, since it uses as much as digits as its factorization.

99870068136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 99870068136960 in words is "ninety-nine trillion, eight hundred seventy billion, sixty-eight million, one hundred thirty-six thousand, nine hundred sixty".