19425832560 has 320 divisors, whose sum is σ = 72709632000. Its totient is φ = 4748958720.

The previous prime is 19425832501. The next prime is 19425832577. The reversal of 19425832560 is 6523852491.

19425832560 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 5 + 83 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1264606 + ... + 1279874.

It is an arithmetic number, because the mean of its divisors is an integer number (227217600).

Almost surely, 2^19425832560 is an apocalyptic number.

19425832560 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 19425832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36354816000).

19425832560 is an abundant number, since it is smaller than the sum of its proper divisors (53283799440).

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

19425832560 is a wasteful number, since it uses less digits than its factorization.

19425832560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 19425832560 in words is "nineteen billion, four hundred twenty-five million, eight hundred thirty-two thousand, five hundred sixty".