11495459257920 has 504 divisors, whose sum is σ = 46017417314232. Its totient is φ = 2622848532480.

The previous prime is 11495459257907. The next prime is 11495459257927. The reversal of 11495459257920 is 2975295459411.

It is a happy number.

11495459257920 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 4 + 59 + 2 + 579 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 662882558976 + 10832576698944 = 814176^2 + 3291288^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11495459257927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953942 + ... + 6894378.

It is an arithmetic number, because the mean of its divisors is an integer number (91304399433).

Almost surely, 2^{11495459257920} is an apocalyptic number.

11495459257920 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 11495459257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008708657116).

11495459257920 is an abundant number, since it is smaller than the sum of its proper divisors (34521958056312).

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

11495459257920 is a wasteful number, since it uses less digits than its factorization.

11495459257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940499 (or 1940475 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 11495459257920 in words is "eleven trillion, four hundred ninety-five billion, four hundred fifty-nine million, two hundred fifty-seven thousand, nine hundred twenty".