85597097760 has 192 divisors, whose sum is σ = 301878783360. Its totient is φ = 22651499520.

The previous prime is 85597097713. The next prime is 85597097837. The reversal of 85597097760 is 6779079558.

85597097760 is a `hidden beast` number, since 8 + 559 + 7 + 0 + 9 + 7 + 76 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490294 + ... + 641546.

It is an arithmetic number, because the mean of its divisors is an integer number (1572285330).

Almost surely, 2^85597097760 is an apocalyptic number.

85597097760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85597097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150939391680).

85597097760 is an abundant number, since it is smaller than the sum of its proper divisors (216281685600).

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

85597097760 is a wasteful number, since it uses less digits than its factorization.

85597097760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151408 (or 151394 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 85597097760 in words is "eighty-five billion, five hundred ninety-seven million, ninety-seven thousand, seven hundred sixty".