10344538928880 has 480 divisors, whose sum is σ = 38785151877120. Its totient is φ = 2532999306240.

The previous prime is 10344538928879. The next prime is 10344538928887. The reversal of 10344538928880 is 8882983544301.

10344538928880 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 538 + 92 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×10344538928880² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344538928887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69648457 + ... + 69796823.

It is an arithmetic number, because the mean of its divisors is an integer number (80802399744).

Almost surely, 2^{10344538928880} is an apocalyptic number.

10344538928880 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 10344538928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392575938560).

10344538928880 is an abundant number, since it is smaller than the sum of its proper divisors (28440612948240).

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

10344538928880 is a wasteful number, since it uses less digits than its factorization.

10344538928880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148606 (or 148581 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 10344538928880 in words is "ten trillion, three hundred forty-four billion, five hundred thirty-eight million, nine hundred twenty-eight thousand, eight hundred eighty".