85597826820 has 288 divisors, whose sum is σ = 284428247040. Its totient is φ = 19021996800.

The previous prime is 85597826773. The next prime is 85597826833. The reversal of 85597826820 is 2862879558.

It is a super-2 number, since 2×85597826820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12047389 + ... + 12054491.

It is an arithmetic number, because the mean of its divisors is an integer number (987598080).

Almost surely, 2^85597826820 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 85597826820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142214123520).

85597826820 is an abundant number, since it is smaller than the sum of its proper divisors (198830420220).

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

85597826820 is a wasteful number, since it uses less digits than its factorization.

85597826820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 85597826820 in words is "eighty-five billion, five hundred ninety-seven million, eight hundred twenty-six thousand, eight hundred twenty".