881985440160 has 1152 divisors, whose sum is σ = 3665988668160. Its totient is φ = 190542643200.

The previous prime is 881985440159. The next prime is 881985440209. The reversal of 881985440160 is 61044589188.

It is a happy number.

881985440160 is a `hidden beast` number, since 8 + 8 + 1 + 98 + 544 + 0 + 1 + 6 + 0 = 666.

881985440160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 881985440097 and 881985440106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 413882295 + ... + 413884425.

It is an arithmetic number, because the mean of its divisors is an integer number (3182281830).

Almost surely, 2^881985440160 is an apocalyptic number.

881985440160 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 881985440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832994334080).

881985440160 is an abundant number, since it is smaller than the sum of its proper divisors (2784003228000).

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

881985440160 is a wasteful number, since it uses less digits than its factorization.

881985440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 881985440160 in words is "eight hundred eighty-one billion, nine hundred eighty-five million, four hundred forty thousand, one hundred sixty".