10756505540 has 144 divisors (see below), whose sum is σ = 26853555456. Its totient is φ = 3602396160.

The previous prime is 10756505537. The next prime is 10756505561. The reversal of 10756505540 is 4550565701.

It is a super-2 number, since 2×10756505540² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10756505494 and 10756505503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930799 + ... + 1936361.

It is an arithmetic number, because the mean of its divisors is an integer number (186483024).

Almost surely, 2^10756505540 is an apocalyptic number.

10756505540 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 10756505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426777728).

10756505540 is an abundant number, since it is smaller than the sum of its proper divisors (16097049916).

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

10756505540 is a wasteful number, since it uses less digits than its factorization.

10756505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The spelling of 10756505540 in words is "ten billion, seven hundred fifty-six million, five hundred five thousand, five hundred forty".