851157120 has 256 divisors, whose sum is σ = 2989301760. Its totient is φ = 204288000.

The previous prime is 851157119. The next prime is 851157121. The reversal of 851157120 is 21751158.

It is an interprime number because it is at equal distance from previous prime (851157119) and next prime (851157121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (851157121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4033815 + ... + 4034025.

It is an arithmetic number, because the mean of its divisors is an integer number (11676960).

Almost surely, 2^851157120 is an apocalyptic number.

851157120 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 851157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494650880).

851157120 is an abundant number, since it is smaller than the sum of its proper divisors (2138144640).

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

851157120 is a wasteful number, since it uses less digits than its factorization.

851157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 851157120 is about 29174.5971694555. The cubic root of 851157120 is about 947.6978866043.

It can be divided in two parts, 85115 and 7120, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 851157120 in words is "eight hundred fifty-one million, one hundred fifty-seven thousand, one hundred twenty".