22765126991040 has 896 divisors, whose sum is σ = 97296888545280. Its totient is φ = 4891593867264.

The previous prime is 22765126991027. The next prime is 22765126991059. The reversal of 22765126991040 is 4019962156722.

It is a happy number.

22765126991040 is a `hidden beast` number, since 2 + 2 + 76 + 512 + 6 + 9 + 9 + 10 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 901683697 + ... + 901708943.

Almost surely, 2^{22765126991040} is an apocalyptic number.

22765126991040 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 22765126991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648444272640).

22765126991040 is an abundant number, since it is smaller than the sum of its proper divisors (74531761554240).

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

22765126991040 is a wasteful number, since it uses less digits than its factorization.

22765126991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26174 (or 26158 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 22765126991040 in words is "twenty-two trillion, seven hundred sixty-five billion, one hundred twenty-six million, nine hundred ninety-one thousand, forty".