87069991680 has 432 divisors, whose sum is σ = 347541352704. Its totient is φ = 19713761280.

The previous prime is 87069991669. The next prime is 87069991763. The reversal of 87069991680 is 8619996078.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8623435 + ... + 8633525.

It is an arithmetic number, because the mean of its divisors is an integer number (804493872).

Almost surely, 2^87069991680 is an apocalyptic number.

87069991680 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 87069991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173770676352).

87069991680 is an abundant number, since it is smaller than the sum of its proper divisors (260471361024).

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

87069991680 is a wasteful number, since it uses less digits than its factorization.

87069991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 87069991680 in words is "eighty-seven billion, sixty-nine million, nine hundred ninety-one thousand, six hundred eighty".