10755613512 has 256 divisors, whose sum is σ = 35239795200. Its totient is φ = 3013231104.

The previous prime is 10755613511. The next prime is 10755613543. The reversal of 10755613512 is 21531655701.

It is a happy number.

10755613512 is a `hidden beast` number, since 10 + 75 + 5 + 61 + 3 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10755613511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6490188 + ... + 6491844.

It is an arithmetic number, because the mean of its divisors is an integer number (137655450).

Almost surely, 2^10755613512 is an apocalyptic number.

10755613512 is a gapful number since it is divisible by the number (12) 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 10755613512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619897600).

10755613512 is an abundant number, since it is smaller than the sum of its proper divisors (24484181688).

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

10755613512 is an equidigital number, since it uses as much as digits as its factorization.

10755613512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 10755613512 in words is "ten billion, seven hundred fifty-five million, six hundred thirteen thousand, five hundred twelve".