15222642906240 has 3840 divisors, whose sum is σ = 74214677433600. Its totient is φ = 2929608622080.

The previous prime is 15222642906217. The next prime is 15222642906253. The reversal of 15222642906240 is 4260924622251.

15222642906240 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 264 + 290 + 62 + 40 = 666.

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 479 ways as a sum of consecutive naturals, for example, 34675723941 + ... + 34675724379.

It is an arithmetic number, because the mean of its divisors is an integer number (19326738915).

Almost surely, 2^{15222642906240} is an apocalyptic number.

15222642906240 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 15222642906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37107338716800).

15222642906240 is an abundant number, since it is smaller than the sum of its proper divisors (58992034527360).

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

15222642906240 is a wasteful number, since it uses less digits than its factorization.

15222642906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 15222642906240 in words is "fifteen trillion, two hundred twenty-two billion, six hundred forty-two million, nine hundred six thousand, two hundred forty".