21342919680 has 528 divisors, whose sum is σ = 77825040384. Its totient is φ = 5401313280.

The previous prime is 21342919589. The next prime is 21342919709. The reversal of 21342919680 is 8691924312.

21342919680 is a `hidden beast` number, since 213 + 429 + 1 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 95708049 + ... + 95708271.

Almost surely, 2^21342919680 is an apocalyptic number.

21342919680 is a gapful number since it is divisible by the number (20) 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 21342919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38912520192).

21342919680 is an abundant number, since it is smaller than the sum of its proper divisors (56482120704).

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

21342919680 is a wasteful number, since it uses less digits than its factorization.

21342919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 21342919680 in words is "twenty-one billion, three hundred forty-two million, nine hundred nineteen thousand, six hundred eighty".