11663124695040 has 2592 divisors, whose sum is σ = 49994938506240. Its totient is φ = 2312919318528.

The previous prime is 11663124694999. The next prime is 11663124695087. The reversal of 11663124695040 is 4059642136611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 91835627457 + ... + 91835627583.

It is an arithmetic number, because the mean of its divisors is an integer number (19288170720).

Almost surely, 2^{11663124695040} is an apocalyptic number.

11663124695040 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 11663124695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24997469253120).

11663124695040 is an abundant number, since it is smaller than the sum of its proper divisors (38331813811200).

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

11663124695040 is a wasteful number, since it uses less digits than its factorization.

11663124695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 11663124695040 in words is "eleven trillion, six hundred sixty-three billion, one hundred twenty-four million, six hundred ninety-five thousand, forty".