851128560 has 400 divisors, whose sum is σ = 3226460160. Its totient is φ = 207152640.

The previous prime is 851128549. The next prime is 851128567. The reversal of 851128560 is 65821158.

851128560 is a `hidden beast` number, since 8 + 511 + 2 + 85 + 60 = 666.

851128560 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851128567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3816609 + ... + 3816831.

Almost surely, 2^851128560 is an apocalyptic number.

851128560 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 851128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613230080).

851128560 is an abundant number, since it is smaller than the sum of its proper divisors (2375331600).

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

851128560 is a wasteful number, since it uses less digits than its factorization.

851128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 851128560 is about 29174.1076984370. The cubic root of 851128560 is about 947.6872866991.

The spelling of 851128560 in words is "eight hundred fifty-one million, one hundred twenty-eight thousand, five hundred sixty".