851078158560 has 960 divisors, whose sum is σ = 3522417300864. Its totient is φ = 189510451200.

The previous prime is 851078158549. The next prime is 851078158573. The reversal of 851078158560 is 65851870158.

851078158560 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 78 + 1 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 851078158497 and 851078158506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 625332280 + ... + 625333640.

Almost surely, 2^851078158560 is an apocalyptic number.

851078158560 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 851078158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761208650432).

851078158560 is an abundant number, since it is smaller than the sum of its proper divisors (2671339142304).

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

851078158560 is a wasteful number, since it uses less digits than its factorization.

851078158560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 54.

The spelling of 851078158560 in words is "eight hundred fifty-one billion, seventy-eight million, one hundred fifty-eight thousand, five hundred sixty".