21775161364992 has 480 divisors, whose sum is σ = 75045529278720. Its totient is φ = 5943001743360.

The previous prime is 21775161364933. The next prime is 21775161364993. The reversal of 21775161364992 is 29946316157712.

21775161364992 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 5 + 1 + 6 + 136 + 499 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21775161364993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564557484 + ... + 564596052.

It is an arithmetic number, because the mean of its divisors is an integer number (156344852664).

Almost surely, 2^{21775161364992} 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 21775161364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37522764639360).

21775161364992 is an abundant number, since it is smaller than the sum of its proper divisors (53270367913728).

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

21775161364992 is a wasteful number, since it uses less digits than its factorization.

21775161364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39384 (or 39365 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 21775161364992 in words is "twenty-one trillion, seven hundred seventy-five billion, one hundred sixty-one million, three hundred sixty-four thousand, nine hundred ninety-two".