10722241857600 has 2016 divisors, whose sum is σ = 50549114649600. Its totient is φ = 2189124403200.

The previous prime is 10722241857581. The next prime is 10722241857697. The reversal of 10722241857600 is 675814222701.

10722241857600 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 24 + 18 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×10722241857600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 853064116 + ... + 853076684.

It is an arithmetic number, because the mean of its divisors is an integer number (25073965600).

Almost surely, 2^{10722241857600} is an apocalyptic number.

10722241857600 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 10722241857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25274557324800).

10722241857600 is an abundant number, since it is smaller than the sum of its proper divisors (39826872792000).

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

10722241857600 is a wasteful number, since it uses less digits than its factorization.

10722241857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12658 (or 12630 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10722241857600 in words is "ten trillion, seven hundred twenty-two billion, two hundred forty-one million, eight hundred fifty-seven thousand, six hundred".