87721159680 has 1760 divisors, whose sum is σ = 407458985472. Its totient is φ = 17517772800.

The previous prime is 87721159651. The next prime is 87721159681. The reversal of 87721159680 is 8695112778.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87721159681) 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, 1309271007 + ... + 1309271073.

Almost surely, 2^87721159680 is an apocalyptic number.

87721159680 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 87721159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203729492736).

87721159680 is an abundant number, since it is smaller than the sum of its proper divisors (319737825792).

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

87721159680 is a wasteful number, since it uses less digits than its factorization.

87721159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 87721159680 in words is "eighty-seven billion, seven hundred twenty-one million, one hundred fifty-nine thousand, six hundred eighty".