1904255781120 has 1296 divisors, whose sum is σ = 8801545596480. Its totient is φ = 374840524800.

The previous prime is 1904255781097. The next prime is 1904255781151. The reversal of 1904255781120 is 211875524091.

1904255781120 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 2 + 557 + 81 + 12 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 117968250 + ... + 117984390.

Almost surely, 2^{1904255781120} is an apocalyptic number.

1904255781120 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 1904255781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400772798240).

1904255781120 is an abundant number, since it is smaller than the sum of its proper divisors (6897289815360).

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

1904255781120 is a wasteful number, since it uses less digits than its factorization.

1904255781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1904255781120 in words is "one trillion, nine hundred four billion, two hundred fifty-five million, seven hundred eighty-one thousand, one hundred twenty".