20138025600 has 960 divisors, whose sum is σ = 92742724800. Its totient is φ = 4180377600.

The previous prime is 20138025581. The next prime is 20138025617. The reversal of 20138025600 is 652083102.

20138025600 is a `hidden beast` number, since 2 + 0 + 1 + 38 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 19957896 + ... + 19958904.

It is an arithmetic number, because the mean of its divisors is an integer number (96607005).

Almost surely, 2^20138025600 is an apocalyptic number.

20138025600 is a gapful number since it is divisible by the number (20) 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 20138025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46371362400).

20138025600 is an abundant number, since it is smaller than the sum of its proper divisors (72604699200).

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

20138025600 is a wasteful number, since it uses less digits than its factorization.

20138025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20138025600 in words is "twenty billion, one hundred thirty-eight million, twenty-five thousand, six hundred".