85077379296 has 864 divisors, whose sum is σ = 318581984448. Its totient is φ = 21767823360.

The previous prime is 85077379279. The next prime is 85077379297. The reversal of 85077379296 is 69297377058.

85077379296 is a `hidden beast` number, since 8 + 507 + 7 + 37 + 9 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85077379297) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165443516 + ... + 1165443588.

Almost surely, 2^85077379296 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 85077379296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159290992224).

85077379296 is an abundant number, since it is smaller than the sum of its proper divisors (233504605152).

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

85077379296 is an equidigital number, since it uses as much as digits as its factorization.

85077379296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 85077379296 in words is "eighty-five billion, seventy-seven million, three hundred seventy-nine thousand, two hundred ninety-six".