855781632160 has 288 divisors, whose sum is σ = 2505524337792. Its totient is φ = 270461767680.

The previous prime is 855781632143. The next prime is 855781632191. The reversal of 855781632160 is 61236187558.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 855781632098 and 855781632107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155396127 + ... + 155401633.

It is an arithmetic number, because the mean of its divisors is an integer number (8699737284).

Almost surely, 2^855781632160 is an apocalyptic number.

855781632160 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 855781632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252762168896).

855781632160 is an abundant number, since it is smaller than the sum of its proper divisors (1649742705632).

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

855781632160 is a wasteful number, since it uses less digits than its factorization.

855781632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 855781632160 in words is "eight hundred fifty-five billion, seven hundred eighty-one million, six hundred thirty-two thousand, one hundred sixty".