1600161764000 has 48 divisors (see below), whose sum is σ = 3931597463976. Its totient is φ = 640064704000.

The previous prime is 1600161763973. The next prime is 1600161764017. The reversal of 1600161764000 is 4671610061.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 391560559504 + 1208601204496 = 625748^2 + 1099364^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200016221 + ... + 200024220.

Almost surely, 2^{1600161764000} is an apocalyptic number.

1600161764000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600161764000 is an abundant number, since it is smaller than the sum of its proper divisors (2331435699976).

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

1600161764000 is an equidigital number, since it uses as much as digits as its factorization.

1600161764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400040466 (or 400040448 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 1600161764000 in words is "one trillion, six hundred billion, one hundred sixty-one million, seven hundred sixty-four thousand".