20038604009760 has 1440 divisors, whose sum is σ = 85366937069568. Its totient is φ = 4409148764160.

The previous prime is 20038604009747. The next prime is 20038604009833. The reversal of 20038604009760 is 6790040683002.

20038604009760 is a `hidden beast` number, since 2 + 0 + 0 + 38 + 604 + 0 + 0 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3878186697 + ... + 3878191863.

Almost surely, 2^{20038604009760} is an apocalyptic number.

20038604009760 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 20038604009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42683468534784).

20038604009760 is an abundant number, since it is smaller than the sum of its proper divisors (65328333059808).

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

20038604009760 is a wasteful number, since it uses less digits than its factorization.

20038604009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20038604009760 in words is "twenty trillion, thirty-eight billion, six hundred four million, nine thousand, seven hundred sixty".