11251033920 has 448 divisors, whose sum is σ = 47753625600. Its totient is φ = 2436065280.

The previous prime is 11251033907. The next prime is 11251033921. The reversal of 11251033920 is 2933015211.

11251033920 is a `hidden beast` number, since 112 + 510 + 3 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251033921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144225 + ... + 1154015.

Almost surely, 2^11251033920 is an apocalyptic number.

11251033920 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 11251033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876812800).

11251033920 is an abundant number, since it is smaller than the sum of its proper divisors (36502591680).

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

11251033920 is a wasteful number, since it uses less digits than its factorization.

11251033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11251033920 in words is "eleven billion, two hundred fifty-one million, thirty-three thousand, nine hundred twenty".