10755101240 has 128 divisors (see below), whose sum is σ = 28378728000. Its totient is φ = 3632283648.

The previous prime is 10755101213. The next prime is 10755101249. The reversal of 10755101240 is 4210155701.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10755101249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267752 + ... + 305288.

Almost surely, 2^10755101240 is an apocalyptic number.

10755101240 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 10755101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189364000).

10755101240 is an abundant number, since it is smaller than the sum of its proper divisors (17623626760).

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

10755101240 is a wasteful number, since it uses less digits than its factorization.

10755101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37609 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

Adding to 10755101240 its reverse (4210155701), we get a palindrome (14965256941).

The spelling of 10755101240 in words is "ten billion, seven hundred fifty-five million, one hundred one thousand, two hundred forty".