10753601540 has 96 divisors (see below), whose sum is σ = 24917397120. Its totient is φ = 3898097280.

The previous prime is 10753601533. The next prime is 10753601557. The reversal of 10753601540 is 4510635701.

It is a junction number, because it is equal to n+sod(n) for n = 10753601497 and 10753601506.

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, 16317731 + ... + 16318389.

It is an arithmetic number, because the mean of its divisors is an integer number (259556220).

Almost surely, 2^10753601540 is an apocalyptic number.

10753601540 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 10753601540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458698560).

10753601540 is an abundant number, since it is smaller than the sum of its proper divisors (14163795580).

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

10753601540 is a wasteful number, since it uses less digits than its factorization.

10753601540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 10753601540 in words is "ten billion, seven hundred fifty-three million, six hundred one thousand, five hundred forty".