10742145112800 has 288 divisors, whose sum is σ = 38876966402400. Its totient is φ = 2862639636480.

The previous prime is 10742145112763. The next prime is 10742145112873. The reversal of 10742145112800 is 821154124701.

10742145112800 is a `hidden beast` number, since 1 + 0 + 7 + 421 + 45 + 112 + 80 + 0 = 666.

10742145112800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31995402 + ... + 32329398.

It is an arithmetic number, because the mean of its divisors is an integer number (134989466675).

Almost surely, 2^{10742145112800} is an apocalyptic number.

10742145112800 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 10742145112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438483201200).

10742145112800 is an abundant number, since it is smaller than the sum of its proper divisors (28134821289600).

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

10742145112800 is a wasteful number, since it uses less digits than its factorization.

10742145112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335515 (or 335496 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10742145112800 in words is "ten trillion, seven hundred forty-two billion, one hundred forty-five million, one hundred twelve thousand, eight hundred".