20200148638992 has 960 divisors, whose sum is σ = 72079866593280. Its totient is φ = 5390727552000.

The previous prime is 20200148638927. The next prime is 20200148639003. The reversal of 20200148638992 is 29983684100202.

20200148638992 is a `hidden beast` number, since 20 + 20 + 0 + 1 + 486 + 38 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3083518117 + ... + 3083524667.

It is an arithmetic number, because the mean of its divisors is an integer number (75083194368).

Almost surely, 2^{20200148638992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200148638992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36039933296640).

20200148638992 is an abundant number, since it is smaller than the sum of its proper divisors (51879717954288).

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

20200148638992 is a wasteful number, since it uses less digits than its factorization.

20200148638992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 20200148638992 in words is "twenty trillion, two hundred billion, one hundred forty-eight million, six hundred thirty-eight thousand, nine hundred ninety-two".