10753261200 has 360 divisors, whose sum is σ = 40873098240. Its totient is φ = 2596377600.

The previous prime is 10753261199. The next prime is 10753261201. The reversal of 10753261200 is 216235701.

It is a happy number.

10753261200 is a `hidden beast` number, since 1 + 0 + 7 + 532 + 6 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10753261199) and next prime (10753261201).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (10753261201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15166446 + ... + 15167154.

It is an arithmetic number, because the mean of its divisors is an integer number (113536384).

Almost surely, 2^10753261200 is an apocalyptic number.

10753261200 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 10753261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436549120).

10753261200 is an abundant number, since it is smaller than the sum of its proper divisors (30119837040).

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

10753261200 is a wasteful number, since it uses less digits than its factorization.

10753261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10753261200 its reverse (216235701), we get a palindrome (10969496901).

It can be divided in two parts, 10753 and 261200, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 10753261200 in words is "ten billion, seven hundred fifty-three million, two hundred sixty-one thousand, two hundred".