11253181280 has 192 divisors, whose sum is σ = 30809056320. Its totient is φ = 3838771200.

The previous prime is 11253181267. The next prime is 11253181301. The reversal of 11253181280 is 8218135211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17024150 + ... + 17024810.

It is an arithmetic number, because the mean of its divisors is an integer number (160463835).

Almost surely, 2^11253181280 is an apocalyptic number.

11253181280 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 11253181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404528160).

11253181280 is an abundant number, since it is smaller than the sum of its proper divisors (19555875040).

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

11253181280 is a wasteful number, since it uses less digits than its factorization.

11253181280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 11253181280 in words is "eleven billion, two hundred fifty-three million, one hundred eighty-one thousand, two hundred eighty".