11737998792000 has 1792 divisors, whose sum is σ = 47428064087040. Its totient is φ = 2824740864000.

The previous prime is 11737998791977. The next prime is 11737998792011. The reversal of 11737998792000 is 29789973711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35462231835 + ... + 35462232165.

It is an arithmetic number, because the mean of its divisors is an integer number (26466553620).

Almost surely, 2^{11737998792000} is an apocalyptic number.

11737998792000 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 11737998792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714032043520).

11737998792000 is an abundant number, since it is smaller than the sum of its proper divisors (35690065295040).

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

11737998792000 is a wasteful number, since it uses less digits than its factorization.

11737998792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 63.

The spelling of 11737998792000 in words is "eleven trillion, seven hundred thirty-seven billion, nine hundred ninety-eight million, seven hundred ninety-two thousand".