11663124940800 has 1440 divisors, whose sum is σ = 45169736451840. Its totient is φ = 2970855014400.

The previous prime is 11663124940799. The next prime is 11663124940823. The reversal of 11663124940800 is 804942136611.

11663124940800 is a `hidden beast` number, since 1 + 1 + 6 + 631 + 2 + 4 + 9 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×11663124940800² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10670745054 + ... + 10670746146.

It is an arithmetic number, because the mean of its divisors is an integer number (31367872536).

Almost surely, 2^{11663124940800} is an apocalyptic number.

11663124940800 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 11663124940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584868225920).

11663124940800 is an abundant number, since it is smaller than the sum of its proper divisors (33506611511040).

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

11663124940800 is a wasteful number, since it uses less digits than its factorization.

11663124940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11663124940800 in words is "eleven trillion, six hundred sixty-three billion, one hundred twenty-four million, nine hundred forty thousand, eight hundred".