10755360000 has 1080 divisors, whose sum is σ = 48810425664. Its totient is φ = 2211840000.

The previous prime is 10755359977. The next prime is 10755360043. The reversal of 10755360000 is 6355701.

10755360000 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 53 + 600 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110879952 + ... + 110880048.

Almost surely, 2^10755360000 is an apocalyptic number.

10755360000 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 10755360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405212832).

10755360000 is an abundant number, since it is smaller than the sum of its proper divisors (38055065664).

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

10755360000 is an equidigital number, since it uses as much as digits as its factorization.

10755360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 10755360000 in words is "ten billion, seven hundred fifty-five million, three hundred sixty thousand".