10756483920 has 720 divisors, whose sum is σ = 46309536000. Its totient is φ = 2216761344.

The previous prime is 10756483919. The next prime is 10756483921. The reversal of 10756483920 is 2938465701.

10756483920 is a `hidden beast` number, since 1 + 0 + 7 + 564 + 83 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10756483919) and next prime (10756483921).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10756483921) 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 143 ways as a sum of consecutive naturals, for example, 21555831 + ... + 21556329.

It is an arithmetic number, because the mean of its divisors is an integer number (64318800).

It is a 1-persistent number, because it is pandigital, but 2⋅10756483920 = 21512967840 is not.

Almost surely, 2^10756483920 is an apocalyptic number.

10756483920 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 10756483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768000).

10756483920 is an abundant number, since it is smaller than the sum of its proper divisors (35553052080).

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

10756483920 is a wasteful number, since it uses less digits than its factorization.

10756483920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10756483920 in words is "ten billion, seven hundred fifty-six million, four hundred eighty-three thousand, nine hundred twenty".