22152758999040 has 1152 divisors, whose sum is σ = 84213238636800. Its totient is φ = 5569696235520.

The previous prime is 22152758999029. The next prime is 22152758999071. The reversal of 22152758999040 is 4099985725122.

22152758999040 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 7 + 589 + 9 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 11015791635 + ... + 11015793645.

It is an arithmetic number, because the mean of its divisors is an integer number (73101769650).

Almost surely, 2^{22152758999040} is an apocalyptic number.

22152758999040 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 22152758999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42106619318400).

22152758999040 is an abundant number, since it is smaller than the sum of its proper divisors (62060479637760).

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

22152758999040 is a wasteful number, since it uses less digits than its factorization.

22152758999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 22152758999040 in words is "twenty-two trillion, one hundred fifty-two billion, seven hundred fifty-eight million, nine hundred ninety-nine thousand, forty".