21088650240 has 1408 divisors, whose sum is σ = 95583436800. Its totient is φ = 4299816960.

The previous prime is 21088650239. The next prime is 21088650287. The reversal of 21088650240 is 4205688012.

21088650240 is a `hidden beast` number, since 2 + 108 + 8 + 6 + 502 + 40 = 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 = 21088650195 and 21088650204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569963502 + ... + 569963538.

Almost surely, 2^21088650240 is an apocalyptic number.

21088650240 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 21088650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47791718400).

21088650240 is an abundant number, since it is smaller than the sum of its proper divisors (74494786560).

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

21088650240 is a wasteful number, since it uses less digits than its factorization.

21088650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21088650240 in words is "twenty-one billion, eighty-eight million, six hundred fifty thousand, two hundred forty".