10540647936 has 960 divisors, whose sum is σ = 41705664000. Its totient is φ = 2633637888.

The previous prime is 10540647907. The next prime is 10540647941. The reversal of 10540647936 is 63974604501.

10540647936 is a `hidden beast` number, since 1 + 0 + 540 + 6 + 4 + 79 + 36 = 666.

It is a super-2 number, since 2×10540647936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540647891 and 10540647900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554770935 + ... + 554770953.

It is an arithmetic number, because the mean of its divisors is an integer number (43443400).

Almost surely, 2^10540647936 is an apocalyptic number.

10540647936 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 10540647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852832000).

10540647936 is an abundant number, since it is smaller than the sum of its proper divisors (31165016064).

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

10540647936 is an frugal number, since it uses more digits than its factorization.

10540647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10540647936 in words is "ten billion, five hundred forty million, six hundred forty-seven thousand, nine hundred thirty-six".