11526230412900 has 1440 divisors, whose sum is σ = 46781655782400. Its totient is φ = 2444893839360.

The previous prime is 11526230412887. The next prime is 11526230412901. The reversal of 11526230412900 is 921403262511.

11526230412900 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 6 + 230 + 412 + 9 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11526230412901) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3447868629 + ... + 3447871971.

It is an arithmetic number, because the mean of its divisors is an integer number (32487260960).

Almost surely, 2^{11526230412900} is an apocalyptic number.

11526230412900 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 11526230412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390827891200).

11526230412900 is an abundant number, since it is smaller than the sum of its proper divisors (35255425369500).

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

11526230412900 is a wasteful number, since it uses less digits than its factorization.

11526230412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11526230412900 in words is "eleven trillion, five hundred twenty-six billion, two hundred thirty million, four hundred twelve thousand, nine hundred".