1904417998560 has 1728 divisors, whose sum is σ = 8784769593600. Its totient is φ = 370427904000.

The previous prime is 1904417998559. The next prime is 1904417998589. The reversal of 1904417998560 is 658997144091.

1904417998560 is a `hidden beast` number, since 19 + 0 + 44 + 17 + 9 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1312485835 + ... + 1312487285.

It is an arithmetic number, because the mean of its divisors is an integer number (5083778700).

Almost surely, 2^{1904417998560} is an apocalyptic number.

1904417998560 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 1904417998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392384796800).

1904417998560 is an abundant number, since it is smaller than the sum of its proper divisors (6880351595040).

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

1904417998560 is a wasteful number, since it uses less digits than its factorization.

1904417998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1904417998560 in words is "one trillion, nine hundred four billion, four hundred seventeen million, nine hundred ninety-eight thousand, five hundred sixty".