11373893968752 has 1280 divisors, whose sum is σ = 40412042035200. Its totient is φ = 2995031531520.

The previous prime is 11373893968721. The next prime is 11373893968763. The reversal of 11373893968752 is 25786939837311.

11373893968752 is a `hidden beast` number, since 1 + 1 + 37 + 3 + 89 + 396 + 87 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40476490852 + ... + 40476491132.

It is an arithmetic number, because the mean of its divisors is an integer number (31571907840).

Almost surely, 2^{11373893968752} is an apocalyptic number.

11373893968752 is a gapful number since it is divisible by the number (12) 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 11373893968752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206021017600).

11373893968752 is an abundant number, since it is smaller than the sum of its proper divisors (29038148066448).

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

11373893968752 is a wasteful number, since it uses less digits than its factorization.

11373893968752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 11373893968752 in words is "eleven trillion, three hundred seventy-three billion, eight hundred ninety-three million, nine hundred sixty-eight thousand, seven hundred fifty-two".