11265093766080 has 3136 divisors, whose sum is σ = 51972117682176. Its totient is φ = 2276215603200.

The previous prime is 11265093766039. The next prime is 11265093766127. The reversal of 11265093766080 is 8066739056211.

11265093766080 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 509 + 3 + 76 + 60 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 154316352924 + ... + 154316352996.

Almost surely, 2^{11265093766080} is an apocalyptic number.

11265093766080 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 11265093766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25986058841088).

11265093766080 is an abundant number, since it is smaller than the sum of its proper divisors (40707023916096).

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

11265093766080 is an frugal number, since it uses more digits than its factorization.

11265093766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 11265093766080 in words is "eleven trillion, two hundred sixty-five billion, ninety-three million, seven hundred sixty-six thousand, eighty".