20825409150 has 576 divisors, whose sum is σ = 73252186560. Its totient is φ = 4311014400.

The previous prime is 20825409131. The next prime is 20825409191. The reversal of 20825409150 is 5190452802.

20825409150 is a `hidden beast` number, since 20 + 8 + 2 + 540 + 91 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52456752 + ... + 52457148.

It is an arithmetic number, because the mean of its divisors is an integer number (127173935).

Almost surely, 2^20825409150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20825409150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36626093280).

20825409150 is an abundant number, since it is smaller than the sum of its proper divisors (52426777410).

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

20825409150 is a wasteful number, since it uses less digits than its factorization.

20825409150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20825409150 in words is "twenty billion, eight hundred twenty-five million, four hundred nine thousand, one hundred fifty".