85887980640 has 1344 divisors, whose sum is σ = 387426074112. Its totient is φ = 17468006400.

The previous prime is 85887980639. The next prime is 85887980687. The reversal of 85887980640 is 4608978858.

85887980640 is a `hidden beast` number, since 8 + 588 + 7 + 9 + 8 + 0 + 6 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 655633375 + ... + 655633505.

It is an arithmetic number, because the mean of its divisors is an integer number (288263448).

Almost surely, 2^85887980640 is an apocalyptic number.

85887980640 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 85887980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193713037056).

85887980640 is an abundant number, since it is smaller than the sum of its proper divisors (301538093472).

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

85887980640 is a wasteful number, since it uses less digits than its factorization.

85887980640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 85887980640 in words is "eighty-five billion, eight hundred eighty-seven million, nine hundred eighty thousand, six hundred forty".