20605148928 has 1152 divisors, whose sum is σ = 83073392640. Its totient is φ = 4883742720.

The previous prime is 20605148923. The next prime is 20605148987. The reversal of 20605148928 is 82984150602.

20605148928 is a `hidden beast` number, since 2 + 0 + 605 + 14 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20605148923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 438407401 + ... + 438407447.

It is an arithmetic number, because the mean of its divisors is an integer number (72112320).

Almost surely, 2^20605148928 is an apocalyptic number.

20605148928 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 20605148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41536696320).

20605148928 is an abundant number, since it is smaller than the sum of its proper divisors (62468243712).

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

20605148928 is a wasteful number, since it uses less digits than its factorization.

20605148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20605148928 in words is "twenty billion, six hundred five million, one hundred forty-eight thousand, nine hundred twenty-eight".