11123025338880 has 2400 divisors, whose sum is σ = 50438843332416. Its totient is φ = 2321948934144.

The previous prime is 11123025338819. The next prime is 11123025338881. The reversal of 11123025338880 is 8883352032111.

11123025338880 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 30 + 2 + 533 + 8 + 8 + 80 = 666.

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 (11123025338881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14133449847 + ... + 14133450633.

Almost surely, 2^{11123025338880} is an apocalyptic number.

11123025338880 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 11123025338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219421666208).

11123025338880 is an abundant number, since it is smaller than the sum of its proper divisors (39315817993536).

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

11123025338880 is a wasteful number, since it uses less digits than its factorization.

11123025338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11123025338880 in words is "eleven trillion, one hundred twenty-three billion, twenty-five million, three hundred thirty-eight thousand, eight hundred eighty".