87081690720 has 144 divisors (see below), whose sum is σ = 289504983600. Its totient is φ = 21999541248.

The previous prime is 87081690713. The next prime is 87081690721. The reversal of 87081690720 is 2709618078.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87081690720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87081690721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77995 + ... + 424554.

It is an arithmetic number, because the mean of its divisors is an integer number (2010451275).

Almost surely, 2^87081690720 is an apocalyptic number.

87081690720 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 87081690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144752491800).

87081690720 is an abundant number, since it is smaller than the sum of its proper divisors (202423292880).

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

87081690720 is a wasteful number, since it uses less digits than its factorization.

87081690720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502605 (or 502578 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 87081690720 in words is "eighty-seven billion, eighty-one million, six hundred ninety thousand, seven hundred twenty".