1904256486720 has 504 divisors, whose sum is σ = 7623380707488. Its totient is φ = 435020544000.

The previous prime is 1904256486709. The next prime is 1904256486733. The reversal of 1904256486720 is 276846524091.

1904256486720 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 2 + 564 + 8 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470068695 + ... + 470072745.

It is an arithmetic number, because the mean of its divisors is an integer number (15125755372).

Almost surely, 2^{1904256486720} is an apocalyptic number.

1904256486720 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 1904256486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811690353744).

1904256486720 is an abundant number, since it is smaller than the sum of its proper divisors (5719124220768).

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

1904256486720 is a wasteful number, since it uses less digits than its factorization.

1904256486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1904256486720 in words is "one trillion, nine hundred four billion, two hundred fifty-six million, four hundred eighty-six thousand, seven hundred twenty".