87439278080 has 512 divisors, whose sum is σ = 271786752000. Its totient is φ = 26203914240.

The previous prime is 87439278067. The next prime is 87439278139. The reversal of 87439278080 is 8087293478.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 365854601 + ... + 365854839.

It is an arithmetic number, because the mean of its divisors is an integer number (530833500).

Almost surely, 2^87439278080 is an apocalyptic number.

87439278080 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 87439278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135893376000).

87439278080 is an abundant number, since it is smaller than the sum of its proper divisors (184347473920).

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

87439278080 is a wasteful number, since it uses less digits than its factorization.

87439278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 87439278080 in words is "eighty-seven billion, four hundred thirty-nine million, two hundred seventy-eight thousand, eighty".