856415900292 has 96 divisors (see below), whose sum is σ = 2154911109120. Its totient is φ = 263848959360.

The previous prime is 856415900267. The next prime is 856415900293. The reversal of 856415900292 is 292009514658.

It is not an unprimeable number, because it can be changed into a prime (856415900293) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8410242 + ... + 8511462.

It is an arithmetic number, because the mean of its divisors is an integer number (22446990720).

Almost surely, 2^856415900292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856415900292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077455554560).

856415900292 is an abundant number, since it is smaller than the sum of its proper divisors (1298495208828).

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

856415900292 is a wasteful number, since it uses less digits than its factorization.

856415900292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102153 (or 102151 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 856415900292 in words is "eight hundred fifty-six billion, four hundred fifteen million, nine hundred thousand, two hundred ninety-two".