19153225440 has 384 divisors, whose sum is σ = 72722240640. Its totient is φ = 4689100800.

The previous prime is 19153225439. The next prime is 19153225447. The reversal of 19153225440 is 4452235191.

19153225440 is a `hidden beast` number, since 1 + 91 + 5 + 3 + 22 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19153225395 and 19153225404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19153225447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3007860 + ... + 3014220.

It is an arithmetic number, because the mean of its divisors is an integer number (189380835).

Almost surely, 2^19153225440 is an apocalyptic number.

19153225440 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 19153225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36361120320).

19153225440 is an abundant number, since it is smaller than the sum of its proper divisors (53569015200).

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

19153225440 is a wasteful number, since it uses less digits than its factorization.

19153225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 19153225440 in words is "nineteen billion, one hundred fifty-three million, two hundred twenty-five thousand, four hundred forty".