10757232368064 has 1792 divisors, whose sum is σ = 42787248537600. Its totient is φ = 2569140633600.

The previous prime is 10757232368063. The next prime is 10757232368087. The reversal of 10757232368064 is 46086323275701.

It is a happy number.

10757232368064 is a `hidden beast` number, since 1 + 0 + 7 + 572 + 3 + 2 + 3 + 6 + 8 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10757232368064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10757232368063) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22457687377 + ... + 22457687855.

It is an arithmetic number, because the mean of its divisors is an integer number (23876812800).

Almost surely, 2^{10757232368064} is an apocalyptic number.

10757232368064 is a gapful number since it is divisible by the number (14) 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 10757232368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21393624268800).

10757232368064 is an abundant number, since it is smaller than the sum of its proper divisors (32030016169536).

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

10757232368064 is a wasteful number, since it uses less digits than its factorization.

10757232368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10757232368064 in words is "ten trillion, seven hundred fifty-seven billion, two hundred thirty-two million, three hundred sixty-eight thousand, sixty-four".