10725051844416 has 896 divisors, whose sum is σ = 38068066713600. Its totient is φ = 2585155461120.

The previous prime is 10725051844369. The next prime is 10725051844417. The reversal of 10725051844416 is 61444815052701.

It is a super-2 number, since 2×10725051844416² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10725051844417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3694470421 + ... + 3694473323.

It is an arithmetic number, because the mean of its divisors is an integer number (42486681600).

Almost surely, 2^{10725051844416} is an apocalyptic number.

10725051844416 is a gapful number since it is divisible by the number (16) 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 10725051844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034033356800).

10725051844416 is an abundant number, since it is smaller than the sum of its proper divisors (27343014869184).

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

10725051844416 is a wasteful number, since it uses less digits than its factorization.

10725051844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 10725051844416 in words is "ten trillion, seven hundred twenty-five billion, fifty-one million, eight hundred forty-four thousand, four hundred sixteen".