85002691140 has 480 divisors, whose sum is σ = 285844204800. Its totient is φ = 21098880000.

The previous prime is 85002691099. The next prime is 85002691141. The reversal of 85002691140 is 4119620058.

85002691140 is a `hidden beast` number, since 8 + 500 + 2 + 6 + 9 + 1 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85002691095 and 85002691104.

It is not an unprimeable number, because it can be changed into a prime (85002691141) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 338656015 + ... + 338656265.

It is an arithmetic number, because the mean of its divisors is an integer number (595508760).

Almost surely, 2^85002691140 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 85002691140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142922102400).

85002691140 is an abundant number, since it is smaller than the sum of its proper divisors (200841513660).

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

85002691140 is a wasteful number, since it uses less digits than its factorization.

85002691140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 85002691140 in words is "eighty-five billion, two million, six hundred ninety-one thousand, one hundred forty".