21675270144 has 336 divisors, whose sum is σ = 65577348144. Its totient is φ = 6358302720.

The previous prime is 21675270143. The next prime is 21675270151. The reversal of 21675270144 is 44107257612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21675270143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110026654 + ... + 110026850.

It is an arithmetic number, because the mean of its divisors is an integer number (195170679).

Almost surely, 2^21675270144 is an apocalyptic number.

21675270144 is a gapful number since it is divisible by the number (24) 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 21675270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32788674072).

21675270144 is an abundant number, since it is smaller than the sum of its proper divisors (43902078000).

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

21675270144 is a wasteful number, since it uses less digits than its factorization.

21675270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 21675270144 in words is "twenty-one billion, six hundred seventy-five million, two hundred seventy thousand, one hundred forty-four".