10800253561734 has 288 divisors, whose sum is σ = 30471282354240. Its totient is φ = 2691843674112.

The previous prime is 10800253561723. The next prime is 10800253561759. The reversal of 10800253561734 is 43716535200801.

It is a happy number.

10800253561734 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 2 + 53 + 561 + 7 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10800253561734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241826734 + ... + 241871390.

It is an arithmetic number, because the mean of its divisors is an integer number (105803063730).

Almost surely, 2^{10800253561734} is an apocalyptic number.

10800253561734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800253561734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235641177120).

10800253561734 is an abundant number, since it is smaller than the sum of its proper divisors (19671028792506).

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

10800253561734 is a wasteful number, since it uses less digits than its factorization.

10800253561734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45132 (or 45110 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10800253561734 in words is "ten trillion, eight hundred billion, two hundred fifty-three million, five hundred sixty-one thousand, seven hundred thirty-four".