20132038080 has 1260 divisors, whose sum is σ = 92265803784. Its totient is φ = 4151347200.

The previous prime is 20132038067. The next prime is 20132038093. The reversal of 20132038080 is 8083023102.

20132038080 is a `hidden beast` number, since 201 + 3 + 2 + 0 + 380 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20132038067) and next prime (20132038093).

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153679615 + ... + 153679745.

Almost surely, 2^20132038080 is an apocalyptic number.

20132038080 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 20132038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46132901892).

20132038080 is an abundant number, since it is smaller than the sum of its proper divisors (72133765704).

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

20132038080 is a wasteful number, since it uses less digits than its factorization.

20132038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

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

The spelling of 20132038080 in words is "twenty billion, one hundred thirty-two million, thirty-eight thousand, eighty".