10925044348800 has 384 divisors, whose sum is σ = 37856197584000. Its totient is φ = 2765204807680.

The previous prime is 10925044348769. The next prime is 10925044348847. The reversal of 10925044348800 is 884344052901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10925044348800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10925044348800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16093039 + ... + 16758161.

It is an arithmetic number, because the mean of its divisors is an integer number (98583847875).

Almost surely, 2^{10925044348800} is an apocalyptic number.

10925044348800 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 10925044348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928098792000).

10925044348800 is an abundant number, since it is smaller than the sum of its proper divisors (26931153235200).

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

10925044348800 is a wasteful number, since it uses less digits than its factorization.

10925044348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665238 (or 665221 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 10925044348800 in words is "ten trillion, nine hundred twenty-five billion, forty-four million, three hundred forty-eight thousand, eight hundred".