20206132128 has 576 divisors, whose sum is σ = 74508698880. Its totient is φ = 5214523392.

The previous prime is 20206132099. The next prime is 20206132139. The reversal of 20206132128 is 82123160202.

20206132128 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 613 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54171750 + ... + 54172122.

It is an arithmetic number, because the mean of its divisors is an integer number (129355380).

Almost surely, 2^20206132128 is an apocalyptic number.

20206132128 is a gapful number since it is divisible by the number (28) 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 20206132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37254349440).

20206132128 is an abundant number, since it is smaller than the sum of its proper divisors (54302566752).

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

20206132128 is a wasteful number, since it uses less digits than its factorization.

20206132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20206132128 in words is "twenty billion, two hundred six million, one hundred thirty-two thousand, one hundred twenty-eight".