85382930491560 has 384 divisors, whose sum is σ = 317716979973120. Its totient is φ = 19724226103296.

The previous prime is 85382930491553. The next prime is 85382930491619. The reversal of 85382930491560 is 6519403928358.

85382930491560 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 2 + 93 + 0 + 491 + 56 + 0 = 666.

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, 1778352 + ... + 13188191.

It is an arithmetic number, because the mean of its divisors is an integer number (827387968680).

Almost surely, 2^{85382930491560} 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 85382930491560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158858489986560).

85382930491560 is an abundant number, since it is smaller than the sum of its proper divisors (232334049481560).

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

85382930491560 is a wasteful number, since it uses less digits than its factorization.

85382930491560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966649 (or 14966642 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 85382930491560 in words is "eighty-five trillion, three hundred eighty-two billion, nine hundred thirty million, four hundred ninety-one thousand, five hundred sixty".