10729729920 has 768 divisors, whose sum is σ = 44383610880. Its totient is φ = 2183086080.

The previous prime is 10729729909. The next prime is 10729729921. The reversal of 10729729920 is 2992792701.

It is a super-2 number, since 2×10729729920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10729729920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10729729921) 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, 37914099 + ... + 37914381.

It is an arithmetic number, because the mean of its divisors is an integer number (57791160).

Almost surely, 2^10729729920 is an apocalyptic number.

10729729920 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 10729729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191805440).

10729729920 is an abundant number, since it is smaller than the sum of its proper divisors (33653880960).

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

10729729920 is a wasteful number, since it uses less digits than its factorization.

10729729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 10729729920 in words is "ten billion, seven hundred twenty-nine million, seven hundred twenty-nine thousand, nine hundred twenty".