21376683575520 has 1536 divisors, whose sum is σ = 87787929600000. Its totient is φ = 4340137697280.

The previous prime is 21376683575479. The next prime is 21376683575521. The reversal of 21376683575520 is 2557538667312.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21376683575521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13203633271 + ... + 13203634889.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600000).

Almost surely, 2^{21376683575520} is an apocalyptic number.

21376683575520 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 21376683575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893964800000).

21376683575520 is an abundant number, since it is smaller than the sum of its proper divisors (66411246024480).

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

21376683575520 is a wasteful number, since it uses less digits than its factorization.

21376683575520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 21376683575520 in words is "twenty-one trillion, three hundred seventy-six billion, six hundred eighty-three million, five hundred seventy-five thousand, five hundred twenty".