856012135104 has 224 divisors, whose sum is σ = 2924768140800. Its totient is φ = 240429358080.

The previous prime is 856012135079. The next prime is 856012135189. The reversal of 856012135104 is 401531210658.

856012135104 is a `hidden beast` number, since 8 + 5 + 601 + 2 + 1 + 35 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 113934 + ... + 1313394.

Almost surely, 2^856012135104 is an apocalyptic number.

856012135104 is a gapful number since it is divisible by the number (84) 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 856012135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462384070400).

856012135104 is an abundant number, since it is smaller than the sum of its proper divisors (2068756005696).

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

856012135104 is a wasteful number, since it uses less digits than its factorization.

856012135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199548 (or 1199532 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 856012135104 in words is "eight hundred fifty-six billion, twelve million, one hundred thirty-five thousand, one hundred four".