21552675840 has 528 divisors, whose sum is σ = 79705267200. Its totient is φ = 5369462784.

The previous prime is 21552675829. The next prime is 21552675857. The reversal of 21552675840 is 4857625512.

21552675840 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 2 + 67 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90178441 + ... + 90178679.

Almost surely, 2^21552675840 is an apocalyptic number.

21552675840 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 21552675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39852633600).

21552675840 is an abundant number, since it is smaller than the sum of its proper divisors (58152591360).

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

21552675840 is a wasteful number, since it uses less digits than its factorization.

21552675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 21552675840 in words is "twenty-one billion, five hundred fifty-two million, six hundred seventy-five thousand, eight hundred forty".