1607891328160 has 48 divisors (see below), whose sum is σ = 4090846595976. Its totient is φ = 593682951168.

The previous prime is 1607891328133. The next prime is 1607891328167. The reversal of 1607891328160 is 618231987061.

It can be written as a sum of positive squares in 4 ways, for example, as 1000296021904 + 607595306256 = 1000148^2 + 779484^2 .

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 = 1607891328098 and 1607891328107.

It is not an unprimeable number, because it can be changed into a prime (1607891328167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386510259 + ... + 386514418.

Almost surely, 2^{1607891328160} is an apocalyptic number.

1607891328160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607891328160 is an abundant number, since it is smaller than the sum of its proper divisors (2482955267816).

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

1607891328160 is a wasteful number, since it uses less digits than its factorization.

1607891328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773024705 (or 773024697 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 1607891328160 in words is "one trillion, six hundred seven billion, eight hundred ninety-one million, three hundred twenty-eight thousand, one hundred sixty".