21935855853912 has 512 divisors, whose sum is σ = 76055932108800. Its totient is φ = 5086348646400.

The previous prime is 21935855853893. The next prime is 21935855853917.

21935855853912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21935855853917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1241479414 + ... + 1241497082.

It is an arithmetic number, because the mean of its divisors is an integer number (148546742400).

Almost surely, 2^{21935855853912} is an apocalyptic number.

21935855853912 is a gapful number since it is divisible by the number (22) 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 21935855853912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38027966054400).

21935855853912 is an abundant number, since it is smaller than the sum of its proper divisors (54120076254888).

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

21935855853912 is a wasteful number, since it uses less digits than its factorization.

21935855853912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19407 (or 19403 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 66.

The spelling of 21935855853912 in words is "twenty-one trillion, nine hundred thirty-five billion, eight hundred fifty-five million, eight hundred fifty-three thousand, nine hundred twelve".