87574445280 has 576 divisors, whose sum is σ = 351506832768. Its totient is φ = 19437649920.

The previous prime is 87574445267. The next prime is 87574445323. The reversal of 87574445280 is 8254447578.

87574445280 is a `hidden beast` number, since 8 + 7 + 5 + 74 + 44 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129356302 + ... + 129356978.

It is an arithmetic number, because the mean of its divisors is an integer number (610254918).

Almost surely, 2^87574445280 is an apocalyptic number.

87574445280 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 87574445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175753416384).

87574445280 is an abundant number, since it is smaller than the sum of its proper divisors (263932387488).

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

87574445280 is a wasteful number, since it uses less digits than its factorization.

87574445280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 87574445280 in words is "eighty-seven billion, five hundred seventy-four million, four hundred forty-five thousand, two hundred eighty".