10800723749040 has 320 divisors, whose sum is σ = 39468331900800. Its totient is φ = 2705439522816.

The previous prime is 10800723749033. The next prime is 10800723749047. The reversal of 10800723749040 is 4094732700801.

10800723749040 is a `hidden beast` number, since 10 + 80 + 0 + 7 + 2 + 37 + 490 + 40 = 666.

10800723749040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10800723749033) and next prime (10800723749047).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10800723749047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18401544 + ... + 18979416.

It is an arithmetic number, because the mean of its divisors is an integer number (123338537190).

Almost surely, 2^{10800723749040} is an apocalyptic number.

10800723749040 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 10800723749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19734165950400).

10800723749040 is an abundant number, since it is smaller than the sum of its proper divisors (28667608151760).

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

10800723749040 is a wasteful number, since it uses less digits than its factorization.

10800723749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578421 (or 578409 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10800723749040 in words is "ten trillion, eight hundred billion, seven hundred twenty-three million, seven hundred forty-nine thousand, forty".