1890025891200 has 288 divisors, whose sum is σ = 7140755919960. Its totient is φ = 474359316480.

The previous prime is 1890025891141. The next prime is 1890025891207. The reversal of 1890025891200 is 21985200981.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890025891207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1440574 + ... + 2419773.

Almost surely, 2^{1890025891200} is an apocalyptic number.

1890025891200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1890025891200 is an abundant number, since it is smaller than the sum of its proper divisors (5250730028760).

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

1890025891200 is a wasteful number, since it uses less digits than its factorization.

1890025891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860394 (or 3860374 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1890025891200 in words is "one trillion, eight hundred ninety billion, twenty-five million, eight hundred ninety-one thousand, two hundred".