19492124800 has 96 divisors (see below), whose sum is σ = 48204342180. Its totient is φ = 7788318720.

The previous prime is 19492124783. The next prime is 19492124807. The reversal of 19492124800 is 842129491.

It can be written as a sum of positive squares in 6 ways, for example, as 7847125056 + 11644999744 = 88584^2 + 107912^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (19492124807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3494814 + ... + 3500386.

Almost surely, 2^19492124800 is an apocalyptic number.

19492124800 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 19492124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24102171090).

19492124800 is an abundant number, since it is smaller than the sum of its proper divisors (28712217380).

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

19492124800 is a wasteful number, since it uses less digits than its factorization.

19492124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 19492124800 in words is "nineteen billion, four hundred ninety-two million, one hundred twenty-four thousand, eight hundred".