11337707377920 has 2304 divisors, whose sum is σ = 48726444146688. Its totient is φ = 2177264517120.

The previous prime is 11337707377907. The next prime is 11337707377921. The reversal of 11337707377920 is 2977370773311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11337707377921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40062570099 + ... + 40062570381.

It is an arithmetic number, because the mean of its divisors is an integer number (21148630272).

Almost surely, 2^{11337707377920} is an apocalyptic number.

11337707377920 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 11337707377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24363222073344).

11337707377920 is an abundant number, since it is smaller than the sum of its proper divisors (37388736768768).

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

11337707377920 is a wasteful number, since it uses less digits than its factorization.

11337707377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 8168202, while the sum is 57.

The spelling of 11337707377920 in words is "eleven trillion, three hundred thirty-seven billion, seven hundred seven million, three hundred seventy-seven thousand, nine hundred twenty".