854097620160 has 448 divisors, whose sum is σ = 2897258112000. Its totient is φ = 212432191488.

The previous prime is 854097620141. The next prime is 854097620261. The reversal of 854097620160 is 61026790458.

854097620160 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328300799 + ... + 1328301441.

It is an arithmetic number, because the mean of its divisors is an integer number (6467094000).

Almost surely, 2^854097620160 is an apocalyptic number.

854097620160 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 854097620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448629056000).

854097620160 is an abundant number, since it is smaller than the sum of its proper divisors (2043160491840).

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

854097620160 is a wasteful number, since it uses less digits than its factorization.

854097620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 854097620160 in words is "eight hundred fifty-four billion, ninety-seven million, six hundred twenty thousand, one hundred sixty".