11259242521920 has 168 divisors, whose sum is σ = 40765371697440. Its totient is φ = 2844440202240.

The previous prime is 11259242521909. The next prime is 11259242521991. The reversal of 11259242521920 is 2912524295211.

11259242521920 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 9 + 2 + 425 + 219 + 2 + 0 = 666.

11259242521920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11259242521920² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102825786 + ... + 102935225.

Almost surely, 2^{11259242521920} is an apocalyptic number.

11259242521920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11259242521920 is an abundant number, since it is smaller than the sum of its proper divisors (29506129175520).

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

11259242521920 is a wasteful number, since it uses less digits than its factorization.

11259242521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205761053 (or 205761040 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11259242521920 in words is "eleven trillion, two hundred fifty-nine billion, two hundred forty-two million, five hundred twenty-one thousand, nine hundred twenty".