10724051434320 has 1600 divisors, whose sum is σ = 47478605746176. Its totient is φ = 2185707110400.

The previous prime is 10724051434309. The next prime is 10724051434339. The reversal of 10724051434320 is 2343415042701.

10724051434320 is a `hidden beast` number, since 1 + 0 + 7 + 240 + 51 + 4 + 343 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1897723495 + ... + 1897729145.

Almost surely, 2^{10724051434320} is an apocalyptic number.

10724051434320 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 10724051434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739302873088).

10724051434320 is an abundant number, since it is smaller than the sum of its proper divisors (36754554311856).

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

10724051434320 is a wasteful number, since it uses less digits than its factorization.

10724051434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10724051434320 in words is "ten trillion, seven hundred twenty-four billion, fifty-one million, four hundred thirty-four thousand, three hundred twenty".