22927581228240 has 1280 divisors, whose sum is σ = 92862446423040. Its totient is φ = 5147040153600.

The previous prime is 22927581228217. The next prime is 22927581228263. The reversal of 22927581228240 is 4282218572922.

22927581228240 is a `hidden beast` number, since 2 + 2 + 9 + 275 + 8 + 122 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (22927581228217) and next prime (22927581228263).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4539213715 + ... + 4539218765.

It is an arithmetic number, because the mean of its divisors is an integer number (72548786268).

Almost surely, 2^{22927581228240} is an apocalyptic number.

22927581228240 is a gapful number since it is divisible by the number (20) 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 22927581228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46431223211520).

22927581228240 is an abundant number, since it is smaller than the sum of its proper divisors (69934865194800).

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

22927581228240 is a wasteful number, since it uses less digits than its factorization.

22927581228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 22927581228240 in words is "twenty-two trillion, nine hundred twenty-seven billion, five hundred eighty-one million, two hundred twenty-eight thousand, two hundred forty".