20187745679360 has 384 divisors, whose sum is σ = 58538373304320. Its totient is φ = 6534837043200.

The previous prime is 20187745679347. The next prime is 20187745679383. The reversal of 20187745679360 is 6397654778102.

It is a super-2 number, since 2×20187745679360² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90994487 + ... + 91216073.

It is an arithmetic number, because the mean of its divisors is an integer number (152443680480).

It is a 1-persistent number, because it is pandigital, but 2⋅20187745679360 = 40375491358720 is not.

Almost surely, 2^{20187745679360} is an apocalyptic number.

20187745679360 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 20187745679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29269186652160).

20187745679360 is an abundant number, since it is smaller than the sum of its proper divisors (38350627624960).

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

20187745679360 is a wasteful number, since it uses less digits than its factorization.

20187745679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221693 (or 221673 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 65.

The spelling of 20187745679360 in words is "twenty trillion, one hundred eighty-seven billion, seven hundred forty-five million, six hundred seventy-nine thousand, three hundred sixty".