339160872960 has 1152 divisors, whose sum is σ = 1487193402240. Its totient is φ = 69561483264.

The previous prime is 339160872949. The next prime is 339160872983. The reversal of 339160872960 is 69278061933.

339160872960 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 608 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 339160872897 and 339160872906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310302174 + ... + 310303266.

It is an arithmetic number, because the mean of its divisors is an integer number (1290966495).

Almost surely, 2^339160872960 is an apocalyptic number.

339160872960 is a gapful number since it is divisible by the number (30) 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 339160872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743596701120).

339160872960 is an abundant number, since it is smaller than the sum of its proper divisors (1148032529280).

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

339160872960 is a wasteful number, since it uses less digits than its factorization.

339160872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 339160872960 in words is "three hundred thirty-nine billion, one hundred sixty million, eight hundred seventy-two thousand, nine hundred sixty".