85451210768 has 160 divisors (see below), whose sum is σ = 208903296000. Its totient is φ = 32893724160.

The previous prime is 85451210723. The next prime is 85451210777. The reversal of 85451210768 is 86701215458.

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, 39214703 + ... + 39216881.

It is an arithmetic number, because the mean of its divisors is an integer number (1305645600).

Almost surely, 2^85451210768 is an apocalyptic number.

85451210768 is a gapful number since it is divisible by the number (88) 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 85451210768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104451648000).

85451210768 is an abundant number, since it is smaller than the sum of its proper divisors (123452085232).

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

85451210768 is a wasteful number, since it uses less digits than its factorization.

85451210768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 85451210768 in words is "eighty-five billion, four hundred fifty-one million, two hundred ten thousand, seven hundred sixty-eight".