11263985132400 has 2700 divisors, whose sum is σ = 53944763905656. Its totient is φ = 2157442560000.

The previous prime is 11263985132321. The next prime is 11263985132401. The reversal of 11263985132400 is 423158936211.

11263985132400 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 98 + 513 + 2 + 40 + 0 = 666.

11263985132400 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 2×11263985132400² (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 not an unprimeable number, because it can be changed into a prime (11263985132401) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 16068452050 + ... + 16068452750.

Almost surely, 2^{11263985132400} is an apocalyptic number.

11263985132400 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 11263985132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26972381952828).

11263985132400 is an abundant number, since it is smaller than the sum of its proper divisors (42680778773256).

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

11263985132400 is a wasteful number, since it uses less digits than its factorization.

11263985132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11263985132400 in words is "eleven trillion, two hundred sixty-three billion, nine hundred eighty-five million, one hundred thirty-two thousand, four hundred".