22113387555840 has 1408 divisors, whose sum is σ = 93051167447040. Its totient is φ = 4936942338048.

The previous prime is 22113387555827. The next prime is 22113387555851. The reversal of 22113387555840 is 4855578331122.

22113387555840 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 3 + 8 + 7 + 55 + 584 + 0 = 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, 514264826859 + ... + 514264826901.

It is an arithmetic number, because the mean of its divisors is an integer number (66087476880).

Almost surely, 2^{22113387555840} is an apocalyptic number.

22113387555840 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 22113387555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46525583723520).

22113387555840 is an abundant number, since it is smaller than the sum of its proper divisors (70937779891200).

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

22113387555840 is an frugal number, since it uses more digits than its factorization.

22113387555840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 22113387555840 in words is "twenty-two trillion, one hundred thirteen billion, three hundred eighty-seven million, five hundred fifty-five thousand, eight hundred forty".