85077674496 has 480 divisors, whose sum is σ = 270166525200. Its totient is φ = 25664421888.

The previous prime is 85077674491. The next prime is 85077674501. The reversal of 85077674496 is 69447677058.

85077674496 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 76 + 74 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (85077674491) and next prime (85077674501).

It can be written as a sum of positive squares in 8 ways, for example, as 77319588096 + 7758086400 = 278064^2 + 88080^2 .

It is not an unprimeable number, because it can be changed into a prime (85077674491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431866270 + ... + 431866466.

Almost surely, 2^85077674496 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 85077674496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135083262600).

85077674496 is an abundant number, since it is smaller than the sum of its proper divisors (185088850704).

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

85077674496 is a wasteful number, since it uses less digits than its factorization.

85077674496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 85077674496 in words is "eighty-five billion, seventy-seven million, six hundred seventy-four thousand, four hundred ninety-six".