21953885995008 has 1792 divisors, whose sum is σ = 77153841705600. Its totient is φ = 6180270243840.

The previous prime is 21953885995007. The next prime is 21953885995081. The reversal of 21953885995008 is 80059958835912.

21953885995008 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 38 + 85 + 9 + 9 + 500 + 8 = 666.

It is a super-2 number, since 2×21953885995008² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21953885995003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 327669940191 + ... + 327669940257.

Almost surely, 2^{21953885995008} 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 21953885995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38576920852800).

21953885995008 is an abundant number, since it is smaller than the sum of its proper divisors (55199955710592).

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

21953885995008 is an frugal number, since it uses more digits than its factorization.

21953885995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 72.

The spelling of 21953885995008 in words is "twenty-one trillion, nine hundred fifty-three billion, eight hundred eighty-five million, nine hundred ninety-five thousand, eight".