15872257440 has 288 divisors, whose sum is σ = 58938633936. Its totient is φ = 3866296320.

The previous prime is 15872257439. The next prime is 15872257463. The reversal of 15872257440 is 4475227851.

15872257440 is a `hidden beast` number, since 1 + 5 + 8 + 72 + 2 + 574 + 4 + 0 = 666.

15872257440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1590095376 + 14282162064 = 39876^2 + 119508^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1811470 + ... + 1820210.

Almost surely, 2^15872257440 is an apocalyptic number.

15872257440 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 15872257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29469316968).

15872257440 is an abundant number, since it is smaller than the sum of its proper divisors (43066376496).

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

15872257440 is a wasteful number, since it uses less digits than its factorization.

15872257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 15872257440 in words is "fifteen billion, eight hundred seventy-two million, two hundred fifty-seven thousand, four hundred forty".