87069043998720 has 2160 divisors, whose sum is σ = 380041430041728. Its totient is φ = 19031308369920.

The previous prime is 87069043998709. The next prime is 87069043998791. The reversal of 87069043998720 is 2789934096078.

87069043998720 is a `hidden beast` number, since 8 + 7 + 0 + 6 + 90 + 439 + 9 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22434691180 + ... + 22434695060.

Almost surely, 2^{87069043998720} is an apocalyptic number.

87069043998720 is a gapful number since it is divisible by the number (80) 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 87069043998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190020715020864).

87069043998720 is an abundant number, since it is smaller than the sum of its proper divisors (292972386043008).

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

87069043998720 is an equidigital number, since it uses as much as digits as its factorization.

87069043998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 87069043998720 in words is "eighty-seven trillion, sixty-nine billion, forty-three million, nine hundred ninety-eight thousand, seven hundred twenty".