10740875069760 has 1344 divisors, whose sum is σ = 40192091799552. Its totient is φ = 2424102912000.

The previous prime is 10740875069753. The next prime is 10740875069779. The reversal of 10740875069760 is 6796057804701.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10740875069694 and 10740875069703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10993730392 + ... + 10993731368.

It is an arithmetic number, because the mean of its divisors is an integer number (29904830208).

Almost surely, 2^{10740875069760} is an apocalyptic number.

10740875069760 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 10740875069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096045899776).

10740875069760 is an abundant number, since it is smaller than the sum of its proper divisors (29451216729792).

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

10740875069760 is a wasteful number, since it uses less digits than its factorization.

10740875069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 10740875069760 in words is "ten trillion, seven hundred forty billion, eight hundred seventy-five million, sixty-nine thousand, seven hundred sixty".