10760542531200 has 3456 divisors, whose sum is σ = 51284503296000. Its totient is φ = 2121541632000.

The previous prime is 10760542531159. The next prime is 10760542531201. The reversal of 10760542531200 is 213524506701.

10760542531200 is a `hidden beast` number, since 1 + 0 + 7 + 60 + 5 + 42 + 531 + 20 + 0 = 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 (10760542531201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28391932611 + ... + 28391932989.

It is an arithmetic number, because the mean of its divisors is an integer number (14839266000).

Almost surely, 2^{10760542531200} is an apocalyptic number.

10760542531200 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 10760542531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25642251648000).

10760542531200 is an abundant number, since it is smaller than the sum of its proper divisors (40523960764800).

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

10760542531200 is a wasteful number, since it uses less digits than its factorization.

10760542531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10760542531200 in words is "ten trillion, seven hundred sixty billion, five hundred forty-two million, five hundred thirty-one thousand, two hundred".