10209574222848 has 1848 divisors, whose sum is σ = 41350052681856. Its totient is φ = 2445520896000.

The previous prime is 10209574222823. The next prime is 10209574222901. The reversal of 10209574222848 is 84822247590201.

10209574222848 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 574 + 2 + 2 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a super-2 number, since 2×10209574222848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10209574222794 and 10209574222803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9714151923 + ... + 9714152973.

Almost surely, 2^{10209574222848} is an apocalyptic number.

10209574222848 is a gapful number since it is divisible by the number (18) 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 10209574222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20675026340928).

10209574222848 is an abundant number, since it is smaller than the sum of its proper divisors (31140478459008).

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

10209574222848 is a wasteful number, since it uses less digits than its factorization.

10209574222848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10209574222848 in words is "ten trillion, two hundred nine billion, five hundred seventy-four million, two hundred twenty-two thousand, eight hundred forty-eight".