21675036240 has 1120 divisors, whose sum is σ = 93445519104. Its totient is φ = 4598415360.

The previous prime is 21675036233. The next prime is 21675036281. The reversal of 21675036240 is 4263057612.

21675036240 is a `hidden beast` number, since 21 + 6 + 7 + 5 + 0 + 3 + 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 = 21675036195 and 21675036204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 191814424 + ... + 191814536.

Almost surely, 2^21675036240 is an apocalyptic number.

21675036240 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 21675036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46722759552).

21675036240 is an abundant number, since it is smaller than the sum of its proper divisors (71770482864).

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

21675036240 is a wasteful number, since it uses less digits than its factorization.

21675036240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21675036240 in words is "twenty-one billion, six hundred seventy-five million, thirty-six thousand, two hundred forty".