1904056083150 has 192 divisors, whose sum is σ = 5177371293696. Its totient is φ = 460230336000.

The previous prime is 1904056083143. The next prime is 1904056083157. The reversal of 1904056083150 is 513806504091.

It is an interprime number because it is at equal distance from previous prime (1904056083143) and next prime (1904056083157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904056083157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72189465 + ... + 72215835.

It is an arithmetic number, because the mean of its divisors is an integer number (26965475488).

Almost surely, 2^{1904056083150} is an apocalyptic number.

1904056083150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904056083150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588685646848).

1904056083150 is an abundant number, since it is smaller than the sum of its proper divisors (3273315210546).

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

1904056083150 is a wasteful number, since it uses less digits than its factorization.

1904056083150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27067 (or 27062 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 1904056083150 in words is "one trillion, nine hundred four billion, fifty-six million, eighty-three thousand, one hundred fifty".