10729750509456 has 320 divisors, whose sum is σ = 32901817958400. Its totient is φ = 2976848755200.

The previous prime is 10729750509419. The next prime is 10729750509479. The reversal of 10729750509456 is 65490505792701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10729750509456.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229799745 + ... + 229846431.

It is an arithmetic number, because the mean of its divisors is an integer number (102818181120).

Almost surely, 2^{10729750509456} is an apocalyptic number.

10729750509456 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 10729750509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450908979200).

10729750509456 is an abundant number, since it is smaller than the sum of its proper divisors (22172067448944).

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

10729750509456 is a wasteful number, since it uses less digits than its factorization.

10729750509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47498 (or 47492 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 60.

The spelling of 10729750509456 in words is "ten trillion, seven hundred twenty-nine billion, seven hundred fifty million, five hundred nine thousand, four hundred fifty-six".