85980206592 has 400 divisors, whose sum is σ = 295997831712. Its totient is φ = 24339087360.

The previous prime is 85980206531. The next prime is 85980206603. The reversal of 85980206592 is 29560208958.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32803042 + ... + 32805662.

Almost surely, 2^85980206592 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 85980206592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147998915856).

85980206592 is an abundant number, since it is smaller than the sum of its proper divisors (210017625120).

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

85980206592 is a wasteful number, since it uses less digits than its factorization.

85980206592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85980206592 in words is "eighty-five billion, nine hundred eighty million, two hundred six thousand, five hundred ninety-two".