15974400000 has 432 divisors, whose sum is σ = 57340111248. Its totient is φ = 3932160000.

The previous prime is 15974399971. The next prime is 15974400007. The reversal of 15974400000 is 447951.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15974400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228799994 + ... + 1228800006.

It is an arithmetic number, because the mean of its divisors is an integer number (132731739).

Almost surely, 2^15974400000 is an apocalyptic number.

15974400000 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 15974400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670055624).

15974400000 is an abundant number, since it is smaller than the sum of its proper divisors (41365711248).

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

15974400000 is an frugal number, since it uses more digits than its factorization.

15974400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 15974400000 its reverse (447951), we get a palindrome (15974847951).

The spelling of 15974400000 in words is "fifteen billion, nine hundred seventy-four million, four hundred thousand".