20738032992 has 96 divisors (see below), whose sum is σ = 60516862560. Its totient is φ = 6909143040.

The previous prime is 20738032967. The next prime is 20738033009. The reversal of 20738032992 is 29923083702.

20738032992 is a `hidden beast` number, since 207 + 38 + 0 + 329 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104108 + ... + 2113940.

It is an arithmetic number, because the mean of its divisors is an integer number (630383985).

Almost surely, 2^20738032992 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 20738032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258431280).

20738032992 is an abundant number, since it is smaller than the sum of its proper divisors (39778829568).

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

20738032992 is a wasteful number, since it uses less digits than its factorization.

20738032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12293 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20738032992 in words is "twenty billion, seven hundred thirty-eight million, thirty-two thousand, nine hundred ninety-two".