1900089742320 has 1600 divisors, whose sum is σ = 8772570662400. Its totient is φ = 373830266880.

The previous prime is 1900089742279. The next prime is 1900089742321. The reversal of 1900089742320 is 232479800091.

It is a super-2 number, since 2×1900089742320² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (1900089742321) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1083906564 + ... + 1083908316.

It is an arithmetic number, because the mean of its divisors is an integer number (5482856664).

Almost surely, 2^{1900089742320} is an apocalyptic number.

1900089742320 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 1900089742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386285331200).

1900089742320 is an abundant number, since it is smaller than the sum of its proper divisors (6872480920080).

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

1900089742320 is a wasteful number, since it uses less digits than its factorization.

1900089742320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1900089742320 in words is "one trillion, nine hundred billion, eighty-nine million, seven hundred forty-two thousand, three hundred twenty".