11275072861800 has 384 divisors, whose sum is σ = 39433396101120. Its totient is φ = 2640263040000.

The previous prime is 11275072861757. The next prime is 11275072861813. The reversal of 11275072861800 is 816827057211.

It is a self number, because there is not a number n which added to its sum of digits gives 11275072861800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110637669 + ... + 110739531.

It is an arithmetic number, because the mean of its divisors is an integer number (102691135680).

Almost surely, 2^{11275072861800} is an apocalyptic number.

11275072861800 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 11275072861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19716698050560).

11275072861800 is an abundant number, since it is smaller than the sum of its proper divisors (28158323239320).

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

11275072861800 is a wasteful number, since it uses less digits than its factorization.

11275072861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102465 (or 102456 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 11275072861800 in words is "eleven trillion, two hundred seventy-five billion, seventy-two million, eight hundred sixty-one thousand, eight hundred".