13650378237720 has 1536 divisors, whose sum is σ = 57018753792000. Its totient is φ = 2872627089408.

The previous prime is 13650378237707. The next prime is 13650378237751. The reversal of 13650378237720 is 2773287305631.

13650378237720 is a `hidden beast` number, since 1 + 3 + 6 + 503 + 7 + 82 + 37 + 7 + 20 = 666.

It is a super-3 number, since 3×13650378237720³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15928095532 + ... + 15928096388.

It is an arithmetic number, because the mean of its divisors is an integer number (37121584500).

Almost surely, 2^{13650378237720} is an apocalyptic number.

13650378237720 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 13650378237720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28509376896000).

13650378237720 is an abundant number, since it is smaller than the sum of its proper divisors (43368375554280).

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

13650378237720 is an equidigital number, since it uses as much as digits as its factorization.

13650378237720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 13650378237720 in words is "thirteen trillion, six hundred fifty billion, three hundred seventy-eight million, two hundred thirty-seven thousand, seven hundred twenty".