1904665086720 has 1152 divisors, whose sum is σ = 7812854784000. Its totient is φ = 434540298240.

The previous prime is 1904665086659. The next prime is 1904665086769. The reversal of 1904665086720 is 276805664091.

1904665086720 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 66 + 508 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1206246891 + ... + 1206248469.

It is an arithmetic number, because the mean of its divisors is an integer number (6781992000).

Almost surely, 2^{1904665086720} is an apocalyptic number.

1904665086720 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 1904665086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906427392000).

1904665086720 is an abundant number, since it is smaller than the sum of its proper divisors (5908189697280).

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

1904665086720 is a wasteful number, since it uses less digits than its factorization.

1904665086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1904665086720 in words is "one trillion, nine hundred four billion, six hundred sixty-five million, eighty-six thousand, seven hundred twenty".