19475857440 has 432 divisors, whose sum is σ = 72516487680. Its totient is φ = 4757575680.

The previous prime is 19475857409. The next prime is 19475857447. The reversal of 19475857440 is 4475857491.

19475857440 is a `hidden beast` number, since 19 + 4 + 7 + 58 + 574 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19475857447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46481551 + ... + 46481969.

It is an arithmetic number, because the mean of its divisors is an integer number (167862240).

Almost surely, 2^19475857440 is an apocalyptic number.

19475857440 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 19475857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258243840).

19475857440 is an abundant number, since it is smaller than the sum of its proper divisors (53040630240).

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

19475857440 is a wasteful number, since it uses less digits than its factorization.

19475857440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 19475857440 in words is "nineteen billion, four hundred seventy-five million, eight hundred fifty-seven thousand, four hundred forty".