10753123361904 has 240 divisors, whose sum is σ = 37683405726720. Its totient is φ = 2780821808640.

The previous prime is 10753123361891. The next prime is 10753123361957. The reversal of 10753123361904 is 40916332135701.

10753123361904 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 3 + 1 + 23 + 3 + 619 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10753123361904.

It is a congruent number.

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, 421689 + ... + 4656615.

It is an arithmetic number, because the mean of its divisors is an integer number (157014190528).

Almost surely, 2^{10753123361904} is an apocalyptic number.

10753123361904 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 10753123361904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841702863360).

10753123361904 is an abundant number, since it is smaller than the sum of its proper divisors (26930282364816).

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

10753123361904 is a wasteful number, since it uses less digits than its factorization.

10753123361904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235188 (or 4235179 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10753123361904 in words is "ten trillion, seven hundred fifty-three billion, one hundred twenty-three million, three hundred sixty-one thousand, nine hundred four".