11025666120 has 256 divisors, whose sum is σ = 38831063040. Its totient is φ = 2452036608.

The previous prime is 11025666109. The next prime is 11025666131. The reversal of 11025666120 is 2166652011.

It is an interprime number because it is at equal distance from previous prime (11025666109) and next prime (11025666131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13833562 + ... + 13834358.

It is an arithmetic number, because the mean of its divisors is an integer number (151683840).

Almost surely, 2^11025666120 is an apocalyptic number.

11025666120 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 11025666120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415531520).

11025666120 is an abundant number, since it is smaller than the sum of its proper divisors (27805396920).

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

11025666120 is a wasteful number, since it uses less digits than its factorization.

11025666120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11025666120 in words is "eleven billion, twenty-five million, six hundred sixty-six thousand, one hundred twenty".