85127803488 has 576 divisors, whose sum is σ = 306738432000. Its totient is φ = 22251801600.

The previous prime is 85127803483. The next prime is 85127803489. The reversal of 85127803488 is 88430872158.

85127803488 is a `hidden beast` number, since 8 + 512 + 7 + 80 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×85127803488² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85127803483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193912773 + ... + 193913211.

It is an arithmetic number, because the mean of its divisors is an integer number (532532000).

Almost surely, 2^85127803488 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 85127803488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153369216000).

85127803488 is an abundant number, since it is smaller than the sum of its proper divisors (221610628512).

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

85127803488 is a wasteful number, since it uses less digits than its factorization.

85127803488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 85127803488 in words is "eighty-five billion, one hundred twenty-seven million, eight hundred three thousand, four hundred eighty-eight".