21957871117248 has 1568 divisors, whose sum is σ = 77572472947200. Its totient is φ = 6096184934400.

The previous prime is 21957871117223. The next prime is 21957871117249. The reversal of 21957871117248 is 84271117875912.

It is a happy number.

21957871117248 is a `hidden beast` number, since 2 + 1 + 9 + 578 + 7 + 1 + 1 + 17 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21957871117249) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28553798208 + ... + 28553798976.

It is an arithmetic number, because the mean of its divisors is an integer number (49472240400).

Almost surely, 2^{21957871117248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21957871117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786236473600).

21957871117248 is an abundant number, since it is smaller than the sum of its proper divisors (55614601829952).

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

21957871117248 is a wasteful number, since it uses less digits than its factorization.

21957871117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 908 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 63.

The spelling of 21957871117248 in words is "twenty-one trillion, nine hundred fifty-seven billion, eight hundred seventy-one million, one hundred seventeen thousand, two hundred forty-eight".