160950578976 has 288 divisors, whose sum is σ = 539804865600. Its totient is φ = 44956477440.

The previous prime is 160950578959. The next prime is 160950579029. The reversal of 160950578976 is 679875059061.

160950578976 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 50 + 578 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×160950578976² (a number of 23 digits) contains 22 as substring.

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, 2190970 + ... + 2263238.

It is an arithmetic number, because the mean of its divisors is an integer number (1874322450).

Almost surely, 2^160950578976 is an apocalyptic number.

160950578976 is a gapful number since it is divisible by the number (16) 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 160950578976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269902432800).

160950578976 is an abundant number, since it is smaller than the sum of its proper divisors (378854286624).

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

160950578976 is a wasteful number, since it uses less digits than its factorization.

160950578976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72352 (or 72341 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 160950578976 in words is "one hundred sixty billion, nine hundred fifty million, five hundred seventy-eight thousand, nine hundred seventy-six".