11254885920 has 144 divisors (see below), whose sum is σ = 38948599872. Its totient is φ = 2959004160.

The previous prime is 11254885897. The next prime is 11254885937. The reversal of 11254885920 is 2958845211.

11254885920 is a `hidden beast` number, since 1 + 1 + 2 + 54 + 8 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47199 + ... + 157281.

It is an arithmetic number, because the mean of its divisors is an integer number (270476388).

Almost surely, 2^11254885920 is an apocalyptic number.

11254885920 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 11254885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474299936).

11254885920 is an abundant number, since it is smaller than the sum of its proper divisors (27693713952).

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

11254885920 is a wasteful number, since it uses less digits than its factorization.

11254885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110175 (or 110164 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11254885920 in words is "eleven billion, two hundred fifty-four million, eight hundred eighty-five thousand, nine hundred twenty".