10757494188720 has 240 divisors, whose sum is σ = 37797490448640. Its totient is φ = 2736699001344.

The previous prime is 10757494188671. The next prime is 10757494188757. The reversal of 10757494188720 is 2788149475701.

10757494188720 is a `hidden beast` number, since 1 + 0 + 7 + 57 + 494 + 18 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5419239 + ... + 7133241.

It is an arithmetic number, because the mean of its divisors is an integer number (157489543536).

Almost surely, 2^{10757494188720} is an apocalyptic number.

10757494188720 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 10757494188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898745224320).

10757494188720 is an abundant number, since it is smaller than the sum of its proper divisors (27039996259920).

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

10757494188720 is a wasteful number, since it uses less digits than its factorization.

10757494188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714424 (or 1714415 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 10757494188720 in words is "ten trillion, seven hundred fifty-seven billion, four hundred ninety-four million, one hundred eighty-eight thousand, seven hundred twenty".