10022795475840 has 2304 divisors, whose sum is σ = 43910067801600. Its totient is φ = 2056745779200.

The previous prime is 10022795475817. The next prime is 10022795475941. The reversal of 10022795475840 is 4857459722001.

10022795475840 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 7 + 9 + 54 + 7 + 584 + 0 = 666.

10022795475840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55374560550 + ... + 55374560730.

It is an arithmetic number, because the mean of its divisors is an integer number (19058189150).

Almost surely, 2^{10022795475840} is an apocalyptic number.

10022795475840 is a gapful number since it is divisible by the number (10) 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 10022795475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21955033900800).

10022795475840 is an abundant number, since it is smaller than the sum of its proper divisors (33887272325760).

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

10022795475840 is a wasteful number, since it uses less digits than its factorization.

10022795475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10022795475840 in words is "ten trillion, twenty-two billion, seven hundred ninety-five million, four hundred seventy-five thousand, eight hundred forty".