11274771076800 has 1344 divisors, whose sum is σ = 48082170544128. Its totient is φ = 2244556800000.

The previous prime is 11274771076771. The next prime is 11274771076843. The reversal of 11274771076800 is 867017747211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1157212729 + ... + 1157222471.

It is an arithmetic number, because the mean of its divisors is an integer number (35775424512).

Almost surely, 2^{11274771076800} is an apocalyptic number.

11274771076800 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 11274771076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24041085272064).

11274771076800 is an abundant number, since it is smaller than the sum of its proper divisors (36807399467328).

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

11274771076800 is a wasteful number, since it uses less digits than its factorization.

11274771076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 51.

The spelling of 11274771076800 in words is "eleven trillion, two hundred seventy-four billion, seven hundred seventy-one million, seventy-six thousand, eight hundred".