85417879011360 has 288 divisors, whose sum is σ = 323788465143360. Its totient is φ = 18850842114048.

The previous prime is 85417879011359. The next prime is 85417879011379. The reversal of 85417879011360 is 6311097871458.

It is a super-2 number, since 2×85417879011360² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 85417879011294 and 85417879011303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61933654 + ... + 63297813.

It is an arithmetic number, because the mean of its divisors is an integer number (1124265503970).

Almost surely, 2^{85417879011360} is an apocalyptic number.

85417879011360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85417879011360 is an abundant number, since it is smaller than the sum of its proper divisors (238370586132000).

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

85417879011360 is a wasteful number, since it uses less digits than its factorization.

85417879011360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125231528 (or 125231513 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 85417879011360 in words is "eighty-five trillion, four hundred seventeen billion, eight hundred seventy-nine million, eleven thousand, three hundred sixty".