10729505540 has 48 divisors (see below), whose sum is σ = 24369469488. Its totient is φ = 3944638464.

The previous prime is 10729505489. The next prime is 10729505603. The reversal of 10729505540 is 4550592701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1866412804 + 8863092736 = 43202^2 + 94144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10729505494 and 10729505503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27977 + ... + 149136.

It is an arithmetic number, because the mean of its divisors is an integer number (507697281).

Almost surely, 2^10729505540 is an apocalyptic number.

10729505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10729505540 is an abundant number, since it is smaller than the sum of its proper divisors (13639963948).

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

10729505540 is a wasteful number, since it uses less digits than its factorization.

10729505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177368 (or 177366 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 10729505540 in words is "ten billion, seven hundred twenty-nine million, five hundred five thousand, five hundred forty".