1904005951680 has 448 divisors, whose sum is σ = 7056241920000. Its totient is φ = 434804944896.

The previous prime is 1904005951657. The next prime is 1904005951817. The reversal of 1904005951680 is 861595004091.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513345666 + ... + 513349374.

It is an arithmetic number, because the mean of its divisors is an integer number (15750540000).

Almost surely, 2^{1904005951680} is an apocalyptic number.

1904005951680 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 1904005951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528120960000).

1904005951680 is an abundant number, since it is smaller than the sum of its proper divisors (5152235968320).

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

1904005951680 is a wasteful number, since it uses less digits than its factorization.

1904005951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 1904005951680 in words is "one trillion, nine hundred four billion, five million, nine hundred fifty-one thousand, six hundred eighty".