15912642240 has 672 divisors, whose sum is σ = 63823656960. Its totient is φ = 3725568000.

The previous prime is 15912642217. The next prime is 15912642257. The reversal of 15912642240 is 4224621951.

It is a happy number.

15912642240 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 2 + 642 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15912642195 and 15912642204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32408395 + ... + 32408885.

It is an arithmetic number, because the mean of its divisors is an integer number (94975680).

Almost surely, 2^15912642240 is an apocalyptic number.

15912642240 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 15912642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31911828480).

15912642240 is an abundant number, since it is smaller than the sum of its proper divisors (47911014720).

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

15912642240 is a wasteful number, since it uses less digits than its factorization.

15912642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 15912642240 in words is "fifteen billion, nine hundred twelve million, six hundred forty-two thousand, two hundred forty".