11249521920 has 1152 divisors, whose sum is σ = 50822016000. Its totient is φ = 2341011456.

The previous prime is 11249521873. The next prime is 11249521981. The reversal of 11249521920 is 2912594211.

11249521920 is a `hidden beast` number, since 1 + 1 + 2 + 49 + 521 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154103004 + ... + 154103076.

Almost surely, 2^11249521920 is an apocalyptic number.

11249521920 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 11249521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411008000).

11249521920 is an abundant number, since it is smaller than the sum of its proper divisors (39572494080).

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

11249521920 is an equidigital number, since it uses as much as digits as its factorization.

11249521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11249521920 in words is "eleven billion, two hundred forty-nine million, five hundred twenty-one thousand, nine hundred twenty".