160881431040 has 320 divisors, whose sum is σ = 623418491520. Its totient is φ = 39001374720.

The previous prime is 160881430993. The next prime is 160881431071. The reversal of 160881431040 is 40134188061.

It is a happy number.

160881431040 is a `hidden beast` number, since 1 + 608 + 8 + 1 + 4 + 3 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 160881430986 and 160881431004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654522 + ... + 866118.

It is an arithmetic number, because the mean of its divisors is an integer number (1948182786).

Almost surely, 2^160881431040 is an apocalyptic number.

160881431040 is a gapful number since it is divisible by the number (10) 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 160881431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311709245760).

160881431040 is an abundant number, since it is smaller than the sum of its proper divisors (462537060480).

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

160881431040 is a wasteful number, since it uses less digits than its factorization.

160881431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211640 (or 211618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 160881431040 in words is "one hundred sixty billion, eight hundred eighty-one million, four hundred thirty-one thousand, forty".