21973895064576 has 528 divisors, whose sum is σ = 78129473630208. Its totient is φ = 5792477184000.

The previous prime is 21973895064533. The next prime is 21973895064623. The reversal of 21973895064576 is 67546059837912.

21973895064576 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 3 + 8 + 9 + 506 + 45 + 76 = 666.

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

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, 2139406321 + ... + 2139416591.

It is an arithmetic number, because the mean of its divisors is an integer number (147972487936).

It is a 1-persistent number, because it is pandigital, but 2⋅21973895064576 = 43947790129152 is not.

Almost surely, 2^{21973895064576} is an apocalyptic number.

21973895064576 is a gapful number since it is divisible by the number (26) 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 21973895064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39064736815104).

21973895064576 is an abundant number, since it is smaller than the sum of its proper divisors (56155578565632).

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

21973895064576 is a wasteful number, since it uses less digits than its factorization.

21973895064576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12847 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 21973895064576 in words is "twenty-one trillion, nine hundred seventy-three billion, eight hundred ninety-five million, sixty-four thousand, five hundred seventy-six".