87039869280 has 384 divisors, whose sum is σ = 340942307328. Its totient is φ = 18174246912.

The previous prime is 87039869201. The next prime is 87039869303. The reversal of 87039869280 is 8296893078.

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

It is a congruent number.

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, 4226689 + ... + 4247231.

It is an arithmetic number, because the mean of its divisors is an integer number (887870592).

Almost surely, 2^87039869280 is an apocalyptic number.

87039869280 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 87039869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170471153664).

87039869280 is an abundant number, since it is smaller than the sum of its proper divisors (253902438048).

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

87039869280 is a wasteful number, since it uses less digits than its factorization.

87039869280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20678 (or 20670 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 87039869280 in words is "eighty-seven billion, thirty-nine million, eight hundred sixty-nine thousand, two hundred eighty".