85963882290 has 256 divisors, whose sum is σ = 249666084864. Its totient is φ = 18661708800.

The previous prime is 85963882261. The next prime is 85963882349. The reversal of 85963882290 is 9228836958.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77935879 + ... + 77936981.

It is an arithmetic number, because the mean of its divisors is an integer number (975258144).

Almost surely, 2^85963882290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85963882290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124833042432).

85963882290 is an abundant number, since it is smaller than the sum of its proper divisors (163702202574).

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

85963882290 is a wasteful number, since it uses less digits than its factorization.

85963882290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665.

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 85963882290 in words is "eighty-five billion, nine hundred sixty-three million, eight hundred eighty-two thousand, two hundred ninety".