21869254734768 has 480 divisors, whose sum is σ = 77065224652800. Its totient is φ = 5814710820864.

The previous prime is 21869254734739. The next prime is 21869254734863. The reversal of 21869254734768 is 86743745296812.

21869254734768 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 9 + 2 + 547 + 3 + 4 + 76 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21869254734696 and 21869254734705.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77639721 + ... + 77920887.

It is an arithmetic number, because the mean of its divisors is an integer number (160552551360).

Almost surely, 2^{21869254734768} is an apocalyptic number.

21869254734768 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 21869254734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38532612326400).

21869254734768 is an abundant number, since it is smaller than the sum of its proper divisors (55195969918032).

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

21869254734768 is a wasteful number, since it uses less digits than its factorization.

21869254734768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281314 (or 281285 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 21869254734768 in words is "twenty-one trillion, eight hundred sixty-nine billion, two hundred fifty-four million, seven hundred thirty-four thousand, seven hundred sixty-eight".