15897630240 has 480 divisors, whose sum is σ = 60461976960. Its totient is φ = 3919159296.

The previous prime is 15897630173. The next prime is 15897630241. The reversal of 15897630240 is 4203679851.

15897630240 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 7 + 630 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (15897630241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12998269 + ... + 12999491.

It is an arithmetic number, because the mean of its divisors is an integer number (125962452).

It is a 2-persistent number, because it is pandigital, and so is 2⋅15897630240 = 31795260480, but 3⋅15897630240 = 47692890720 is not.

Almost surely, 2^15897630240 is an apocalyptic number.

15897630240 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 15897630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30230988480).

15897630240 is an abundant number, since it is smaller than the sum of its proper divisors (44564346720).

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

15897630240 is a wasteful number, since it uses less digits than its factorization.

15897630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 15897630240 in words is "fifteen billion, eight hundred ninety-seven million, six hundred thirty thousand, two hundred forty".