87707531413680 has 160 divisors (see below), whose sum is σ = 276246009790464. Its totient is φ = 23014997710848.

The previous prime is 87707531413679. The next prime is 87707531413727. The reversal of 87707531413680 is 8631413570778.

It is a super-2 number, since 2×87707531413680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12156369 + ... + 17977551.

Almost surely, 2^{87707531413680} is an apocalyptic number.

87707531413680 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 87707531413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138123004895232).

87707531413680 is an abundant number, since it is smaller than the sum of its proper divisors (188538478376784).

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

87707531413680 is a wasteful number, since it uses less digits than its factorization.

87707531413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822203 (or 5822197 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 87707531413680 in words is "eighty-seven trillion, seven hundred seven billion, five hundred thirty-one million, four hundred thirteen thousand, six hundred eighty".