15984780240 has 320 divisors, whose sum is σ = 58763738880. Its totient is φ = 3543367680.

The previous prime is 15984780233. The next prime is 15984780257. The reversal of 15984780240 is 4208748951.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15984780240.

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, 3738744 + ... + 3743016.

It is an arithmetic number, because the mean of its divisors is an integer number (183636684).

Almost surely, 2^15984780240 is an apocalyptic number.

15984780240 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 15984780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29381869440).

15984780240 is an abundant number, since it is smaller than the sum of its proper divisors (42778958640).

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

15984780240 is a wasteful number, since it uses less digits than its factorization.

15984780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 15984780240 in words is "fifteen billion, nine hundred eighty-four million, seven hundred eighty thousand, two hundred forty".