85590202680 has 192 divisors, whose sum is σ = 299626629120. Its totient is φ = 21127392000.

The previous prime is 85590202669. The next prime is 85590202699. The reversal of 85590202680 is 8620209558.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89955 + ... + 423405.

It is an arithmetic number, because the mean of its divisors is an integer number (1560555360).

Almost surely, 2^85590202680 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 85590202680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149813314560).

85590202680 is an abundant number, since it is smaller than the sum of its proper divisors (214036426440).

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

85590202680 is a wasteful number, since it uses less digits than its factorization.

85590202680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333522 (or 333515 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85590202680 in words is "eighty-five billion, five hundred ninety million, two hundred two thousand, six hundred eighty".