20914252128 has 576 divisors, whose sum is σ = 79724736000. Its totient is φ = 5141283840.

The previous prime is 20914252111. The next prime is 20914252189. The reversal of 20914252128 is 82125241902.

20914252128 is a `hidden beast` number, since 2 + 0 + 91 + 42 + 521 + 2 + 8 = 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 = 20914252092 and 20914252101.

It is a congruent number.

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, 20645350 + ... + 20646362.

It is an arithmetic number, because the mean of its divisors is an integer number (138411000).

Almost surely, 2^20914252128 is an apocalyptic number.

20914252128 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 20914252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39862368000).

20914252128 is an abundant number, since it is smaller than the sum of its proper divisors (58810483872).

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

20914252128 is a wasteful number, since it uses less digits than its factorization.

20914252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20914252128 in words is "twenty billion, nine hundred fourteen million, two hundred fifty-two thousand, one hundred twenty-eight".