1890164743200 has 360 divisors, whose sum is σ = 7079371274052. Its totient is φ = 490420500480.

The previous prime is 1890164743199. The next prime is 1890164743219. The reversal of 1890164743200 is 23474610981.

1890164743200 is a `hidden beast` number, since 18 + 90 + 164 + 74 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 847290794256 + 1042873948944 = 920484^2 + 1021212^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2003422 + ... + 2791778.

Almost surely, 2^{1890164743200} is an apocalyptic number.

1890164743200 is a gapful number since it is divisible by the number (10) 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 1890164743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539685637026).

1890164743200 is an abundant number, since it is smaller than the sum of its proper divisors (5189206530852).

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

1890164743200 is a wasteful number, since it uses less digits than its factorization.

1890164743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788426 (or 788404 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1890164743200 in words is "one trillion, eight hundred ninety billion, one hundred sixty-four million, seven hundred forty-three thousand, two hundred".