87690237120 has 560 divisors, whose sum is σ = 330311820960. Its totient is φ = 22044524544.

The previous prime is 87690237119. The next prime is 87690237143. The reversal of 87690237120 is 2173209678.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32320884 + ... + 32323596.

Almost surely, 2^87690237120 is an apocalyptic number.

87690237120 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 87690237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165155910480).

87690237120 is an abundant number, since it is smaller than the sum of its proper divisors (242621583840).

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

87690237120 is a wasteful number, since it uses less digits than its factorization.

87690237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 87690237120 in words is "eighty-seven billion, six hundred ninety million, two hundred thirty-seven thousand, one hundred twenty".