10753837640 has 128 divisors (see below), whose sum is σ = 30075736320. Its totient is φ = 3369600000.

The previous prime is 10753837631. The next prime is 10753837663. The reversal of 10753837640 is 4673835701.

It is a junction number, because it is equal to n+sod(n) for n = 10753837591 and 10753837600.

It is an unprimeable number.

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, 353015 + ... + 382265.

It is an arithmetic number, because the mean of its divisors is an integer number (234966690).

Almost surely, 2^10753837640 is an apocalyptic number.

10753837640 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 10753837640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037868160).

10753837640 is an abundant number, since it is smaller than the sum of its proper divisors (19321898680).

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

10753837640 is a wasteful number, since it uses less digits than its factorization.

10753837640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29383 (or 29379 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 10753837640 in words is "ten billion, seven hundred fifty-three million, eight hundred thirty-seven thousand, six hundred forty".