21088686150 has 960 divisors, whose sum is σ = 77780736000. Its totient is φ = 4206504960.

The previous prime is 21088686121. The next prime is 21088686163. The reversal of 21088686150 is 5168688012.

21088686150 is a `hidden beast` number, since 21 + 0 + 8 + 8 + 6 + 8 + 615 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21088686096 and 21088686105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 448695427 + ... + 448695473.

It is an arithmetic number, because the mean of its divisors is an integer number (81021600).

Almost surely, 2^21088686150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21088686150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38890368000).

21088686150 is an abundant number, since it is smaller than the sum of its proper divisors (56692049850).

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

21088686150 is a wasteful number, since it uses less digits than its factorization.

21088686150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 21088686150 in words is "twenty-one billion, eighty-eight million, six hundred eighty-six thousand, one hundred fifty".