10552022306240 has 112 divisors (see below), whose sum is σ = 25152351971040. Its totient is φ = 4216553472000.

The previous prime is 10552022306171. The next prime is 10552022306339. The reversal of 10552022306240 is 4260322025501.

It is a super-2 number, since 2×10552022306240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10552022306197 and 10552022306206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2418522299 + ... + 2418526661.

It is an arithmetic number, because the mean of its divisors is an integer number (224574571170).

Almost surely, 2^{10552022306240} is an apocalyptic number.

10552022306240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552022306240 is an abundant number, since it is smaller than the sum of its proper divisors (14600329664800).

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

10552022306240 is a wasteful number, since it uses less digits than its factorization.

10552022306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 10552022306240 in words is "ten trillion, five hundred fifty-two billion, twenty-two million, three hundred six thousand, two hundred forty".