21340888560 has 600 divisors, whose sum is σ = 80454448800. Its totient is φ = 5232522240.

The previous prime is 21340888549. The next prime is 21340888567. The reversal of 21340888560 is 6588804312.

21340888560 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 8 + 88 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21340888567) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 143227366 + ... + 143227514.

It is an arithmetic number, because the mean of its divisors is an integer number (134090748).

Almost surely, 2^21340888560 is an apocalyptic number.

21340888560 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 21340888560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40227224400).

21340888560 is an abundant number, since it is smaller than the sum of its proper divisors (59113560240).

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

21340888560 is a wasteful number, since it uses less digits than its factorization.

21340888560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 21340888560 in words is "twenty-one billion, three hundred forty million, eight hundred eighty-eight thousand, five hundred sixty".