22099932135840 has 768 divisors, whose sum is σ = 78774862086144. Its totient is φ = 5170430361600.

The previous prime is 22099932135821. The next prime is 22099932135859. The reversal of 22099932135840 is 4853123999022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22099932135821) and next prime (22099932135859).

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 127 ways as a sum of consecutive naturals, for example, 12826425219 + ... + 12826426941.

It is an arithmetic number, because the mean of its divisors is an integer number (102571435008).

Almost surely, 2^{22099932135840} is an apocalyptic number.

22099932135840 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 22099932135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39387431043072).

22099932135840 is an abundant number, since it is smaller than the sum of its proper divisors (56674929950304).

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

22099932135840 is a wasteful number, since it uses less digits than its factorization.

22099932135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 22099932135840 in words is "twenty-two trillion, ninety-nine billion, nine hundred thirty-two million, one hundred thirty-five thousand, eight hundred forty".