19825444704 has 96 divisors (see below), whose sum is σ = 56245450464. Its totient is φ = 6078320640.

The previous prime is 19825444703. The next prime is 19825444739. The reversal of 19825444704 is 40744452891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19825444704² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19825444703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322422 + ... + 378954.

It is an arithmetic number, because the mean of its divisors is an integer number (585890109).

Almost surely, 2^19825444704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19825444704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28122725232).

19825444704 is an abundant number, since it is smaller than the sum of its proper divisors (36420005760).

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

19825444704 is a wasteful number, since it uses less digits than its factorization.

19825444704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56840 (or 56832 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 19825444704 in words is "nineteen billion, eight hundred twenty-five million, four hundred forty-four thousand, seven hundred four".