87942785280 has 576 divisors, whose sum is σ = 341900697600. Its totient is φ = 19220619264.

The previous prime is 87942785261. The next prime is 87942785299. The reversal of 87942785280 is 8258724978.

It is an interprime number because it is at equal distance from previous prime (87942785261) and next prime (87942785299).

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 63 ways as a sum of consecutive naturals, for example, 30292309 + ... + 30295211.

It is an arithmetic number, because the mean of its divisors is an integer number (593577600).

Almost surely, 2^87942785280 is an apocalyptic number.

87942785280 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 87942785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170950348800).

87942785280 is an abundant number, since it is smaller than the sum of its proper divisors (253957912320).

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

87942785280 is a wasteful number, since it uses less digits than its factorization.

87942785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 87942785280 in words is "eighty-seven billion, nine hundred forty-two million, seven hundred eighty-five thousand, two hundred eighty".