85090866336 has 192 divisors, whose sum is σ = 292786421760. Its totient is φ = 23527376640.

The previous prime is 85090866319. The next prime is 85090866337. The reversal of 85090866336 is 63366809058.

It is a super-2 number, since 2×85090866336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85090866337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39436 + ... + 414411.

It is an arithmetic number, because the mean of its divisors is an integer number (1524929280).

Almost surely, 2^85090866336 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 85090866336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146393210880).

85090866336 is an abundant number, since it is smaller than the sum of its proper divisors (207695555424).

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

85090866336 is a wasteful number, since it uses less digits than its factorization.

85090866336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453904 (or 453890 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 85090866336 in words is "eighty-five billion, ninety million, eight hundred sixty-six thousand, three hundred thirty-six".