20215972681344 has 384 divisors, whose sum is σ = 66859127524800. Its totient is φ = 5798681395200.

The previous prime is 20215972681321. The next prime is 20215972681459. The reversal of 20215972681344 is 44318627951202.

It is a happy number.

20215972681344 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 597 + 2 + 6 + 8 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 287201034 + ... + 287271414.

It is a 1-persistent number, because it is pandigital, but 2⋅20215972681344 = 40431945362688 is not.

Almost surely, 2^{20215972681344} is an apocalyptic number.

20215972681344 is a gapful number since it is divisible by the number (24) 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 20215972681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33429563762400).

20215972681344 is an abundant number, since it is smaller than the sum of its proper divisors (46643154843456).

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

20215972681344 is a wasteful number, since it uses less digits than its factorization.

20215972681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71624 (or 71609 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20215972681344 in words is "twenty trillion, two hundred fifteen billion, nine hundred seventy-two million, six hundred eighty-one thousand, three hundred forty-four".