855090892656 has 2160 divisors, whose sum is σ = 3583564208640. Its totient is φ = 187489935360.

The previous prime is 855090892651. The next prime is 855090892657. The reversal of 855090892656 is 656298090558.

855090892656 is a `hidden beast` number, since 8 + 550 + 9 + 0 + 8 + 9 + 26 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 855090892593 and 855090892602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855090892651) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11713573836 + ... + 11713573908.

It is an arithmetic number, because the mean of its divisors is an integer number (1659057504).

Almost surely, 2^855090892656 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 855090892656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791782104320).

855090892656 is an abundant number, since it is smaller than the sum of its proper divisors (2728473315984).

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

855090892656 is a wasteful number, since it uses less digits than its factorization.

855090892656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 855090892656 in words is "eight hundred fifty-five billion, ninety million, eight hundred ninety-two thousand, six hundred fifty-six".