87127989120 has 256 divisors, whose sum is σ = 321996211200. Its totient is φ = 22223849472.

The previous prime is 87127989077. The next prime is 87127989139. The reversal of 87127989120 is 2198972178.

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

It is a congruent number.

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, 287829 + ... + 507051.

It is an arithmetic number, because the mean of its divisors is an integer number (1257797700).

Almost surely, 2^87127989120 is an apocalyptic number.

87127989120 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 87127989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160998105600).

87127989120 is an abundant number, since it is smaller than the sum of its proper divisors (234868222080).

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

87127989120 is a wasteful number, since it uses less digits than its factorization.

87127989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219274 (or 219256 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 87127989120 in words is "eighty-seven billion, one hundred twenty-seven million, nine hundred eighty-nine thousand, one hundred twenty".