21327546240 has 1536 divisors, whose sum is σ = 103293066240. Its totient is φ = 4060938240.

The previous prime is 21327546217. The next prime is 21327546257. The reversal of 21327546240 is 4264572312.

21327546240 is a `hidden beast` number, since 2 + 1 + 3 + 27 + 5 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21327546195 and 21327546204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155675452 + ... + 155675588.

It is an arithmetic number, because the mean of its divisors is an integer number (67248090).

Almost surely, 2^21327546240 is an apocalyptic number.

21327546240 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 21327546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51646533120).

21327546240 is an abundant number, since it is smaller than the sum of its proper divisors (81965520000).

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

21327546240 is a wasteful number, since it uses less digits than its factorization.

21327546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 21327546240 in words is "twenty-one billion, three hundred twenty-seven million, five hundred forty-six thousand, two hundred forty".