20444155713360 has 240 divisors, whose sum is σ = 72275623617600. Its totient is φ = 5164572082176.

The previous prime is 20444155713347. The next prime is 20444155713403. The reversal of 20444155713360 is 6331755144402.

20444155713360 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 1 + 557 + 1 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20444155713360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518301799 + ... + 518341241.

It is an arithmetic number, because the mean of its divisors is an integer number (301148431740).

Almost surely, 2^{20444155713360} is an apocalyptic number.

20444155713360 is a gapful number since it is divisible by the number (20) 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 20444155713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137811808800).

20444155713360 is an abundant number, since it is smaller than the sum of its proper divisors (51831467904240).

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

20444155713360 is a wasteful number, since it uses less digits than its factorization.

20444155713360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77370 (or 77361 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 20444155713360 in words is "twenty trillion, four hundred forty-four billion, one hundred fifty-five million, seven hundred thirteen thousand, three hundred sixty".