21869975036448 has 720 divisors, whose sum is σ = 81663276540384. Its totient is φ = 5677632092160.

The previous prime is 21869975036443. The next prime is 21869975036491. The reversal of 21869975036448 is 84463057996812.

21869975036448 is a `hidden beast` number, since 2 + 1 + 8 + 69 + 97 + 5 + 0 + 36 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (21869975036443) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5089589436 + ... + 5089593732.

It is a 1-persistent number, because it is pandigital, but 2⋅21869975036448 = 43739950072896 is not.

Almost surely, 2^{21869975036448} is an apocalyptic number.

21869975036448 is a gapful number since it is divisible by the number (28) 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 21869975036448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40831638270192).

21869975036448 is an abundant number, since it is smaller than the sum of its proper divisors (59793301503936).

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

21869975036448 is a wasteful number, since it uses less digits than its factorization.

21869975036448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 21869975036448 in words is "twenty-one trillion, eight hundred sixty-nine billion, nine hundred seventy-five million, thirty-six thousand, four hundred forty-eight".