10724525342850 has 288 divisors, whose sum is σ = 30098467324800. Its totient is φ = 2523692160000.

The previous prime is 10724525342833. The next prime is 10724525342897. The reversal of 10724525342850 is 5824352542701.

It is a super-2 number, since 2×10724525342850² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10724525342850.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148049640 + ... + 148122060.

It is an arithmetic number, because the mean of its divisors is an integer number (104508567100).

Almost surely, 2^{10724525342850} is an apocalyptic number.

10724525342850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10724525342850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049233662400).

10724525342850 is an abundant number, since it is smaller than the sum of its proper divisors (19373941981950).

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

10724525342850 is a wasteful number, since it uses less digits than its factorization.

10724525342850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72698 (or 72682 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 10724525342850 in words is "ten trillion, seven hundred twenty-four billion, five hundred twenty-five million, three hundred forty-two thousand, eight hundred fifty".