85587891480 has 384 divisors, whose sum is σ = 342775480320. Its totient is φ = 18035758080.

The previous prime is 85587891469. The next prime is 85587891517. The reversal of 85587891480 is 8419878558.

85587891480 is a `hidden beast` number, since 8 + 5 + 587 + 8 + 9 + 1 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 51465129 + ... + 51466791.

It is an arithmetic number, because the mean of its divisors is an integer number (892644480).

Almost surely, 2^85587891480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85587891480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171387740160).

85587891480 is an abundant number, since it is smaller than the sum of its proper divisors (257187588840).

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

85587891480 is a wasteful number, since it uses less digits than its factorization.

85587891480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 85587891480 in words is "eighty-five billion, five hundred eighty-seven million, eight hundred ninety-one thousand, four hundred eighty".