857590860672000 has 12672 divisors, whose sum is σ = 4489561773785088. Its totient is φ = 152500174848000.

The previous prime is 857590860671971. The next prime is 857590860672059. The reversal of 857590860672000 is 276068095758.

857590860672000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 19943973503979 + ... + 19943973504021.

It is an arithmetic number, because the mean of its divisors is an integer number (354289912704).

Almost surely, 2^{857590860672000} is an apocalyptic number.

857590860672000 is a gapful number since it is divisible by the number (80) 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 857590860672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244780886892544).

857590860672000 is an abundant number, since it is smaller than the sum of its proper divisors (3631970913113088).

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

857590860672000 is a wasteful number, since it uses less digits than its factorization.

857590860672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 857590860672000 in words is "eight hundred fifty-seven trillion, five hundred ninety billion, eight hundred sixty million, six hundred seventy-two thousand".