1600097680960 has 56 divisors (see below), whose sum is σ = 3811345103736. Its totient is φ = 639852195840.

The previous prime is 1600097680897. The next prime is 1600097680969. The reversal of 1600097680960 is 690867900061.

It can be written as a sum of positive squares in 4 ways, for example, as 10218783744 + 1589878897216 = 101088^2 + 1260904^2 .

It is a super-2 number, since 2×1600097680960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1600097680898 and 1600097680907.

It is not an unprimeable number, because it can be changed into a prime (1600097680969) 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, 370290 + ... + 1826830.

Almost surely, 2^{1600097680960} is an apocalyptic number.

1600097680960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600097680960 is an abundant number, since it is smaller than the sum of its proper divisors (2211247422776).

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

1600097680960 is a wasteful number, since it uses less digits than its factorization.

1600097680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459991 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 1600097680960 in words is "one trillion, six hundred billion, ninety-seven million, six hundred eighty thousand, nine hundred sixty".