10753136640 has 768 divisors, whose sum is σ = 42456960000. Its totient is φ = 2569273344.

The previous prime is 10753136591. The next prime is 10753136731. The reversal of 10753136640 is 4663135701.

10753136640 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 3 + 1 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10753136595 and 10753136604.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 120821716 + ... + 120821804.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 2^10753136640 is an apocalyptic number.

10753136640 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 10753136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480000).

10753136640 is an abundant number, since it is smaller than the sum of its proper divisors (31703823360).

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

10753136640 is a wasteful number, since it uses less digits than its factorization.

10753136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10753136640 in words is "ten billion, seven hundred fifty-three million, one hundred thirty-six thousand, six hundred forty".