856517760000 has 1760 divisors, whose sum is σ = 3710023412480. Its totient is φ = 191102976000.

The previous prime is 856517759963. The next prime is 856517760011. The reversal of 856517760000 is 67715658.

856517760000 is a `hidden beast` number, since 8 + 565 + 17 + 76 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8830079952 + ... + 8830080048.

It is an arithmetic number, because the mean of its divisors is an integer number (2107967848).

Almost surely, 2^856517760000 is an apocalyptic number.

856517760000 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 856517760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855011706240).

856517760000 is an abundant number, since it is smaller than the sum of its proper divisors (2853505652480).

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

856517760000 is an equidigital number, since it uses as much as digits as its factorization.

856517760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 856517760000 in words is "eight hundred fifty-six billion, five hundred seventeen million, seven hundred sixty thousand".