21041767576368 has 960 divisors, whose sum is σ = 78626990407680. Its totient is φ = 5085232128000.

The previous prime is 21041767576337. The next prime is 21041767576441. The reversal of 21041767576368 is 86367576714012.

21041767576368 is a `hidden beast` number, since 2 + 10 + 4 + 17 + 6 + 7 + 576 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14501562043 + ... + 14501563493.

It is an arithmetic number, because the mean of its divisors is an integer number (81903115008).

Almost surely, 2^{21041767576368} is an apocalyptic number.

21041767576368 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 21041767576368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39313495203840).

21041767576368 is an abundant number, since it is smaller than the sum of its proper divisors (57585222831312).

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

21041767576368 is a wasteful number, since it uses less digits than its factorization.

21041767576368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 21041767576368 in words is "twenty-one trillion, forty-one billion, seven hundred sixty-seven million, five hundred seventy-six thousand, three hundred sixty-eight".