10755609581232 has 560 divisors, whose sum is σ = 33827746314240. Its totient is φ = 3301173646848.

The previous prime is 10755609581201. The next prime is 10755609581267. The reversal of 10755609581232 is 23218590655701.

10755609581232 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 5 + 609 + 5 + 8 + 1 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2855217013 + ... + 2855220779.

Almost surely, 2^{10755609581232} is an apocalyptic number.

10755609581232 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 10755609581232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913873157120).

10755609581232 is an abundant number, since it is smaller than the sum of its proper divisors (23072136733008).

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

10755609581232 is a wasteful number, since it uses less digits than its factorization.

10755609581232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10755609581232 in words is "ten trillion, seven hundred fifty-five billion, six hundred nine million, five hundred eighty-one thousand, two hundred thirty-two".