20738687930688 has 896 divisors, whose sum is σ = 70785105592320. Its totient is φ = 5212280586240.

The previous prime is 20738687930651. The next prime is 20738687930711. The reversal of 20738687930688 is 88603978683702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10221136458 + ... + 10221138486.

It is an arithmetic number, because the mean of its divisors is an integer number (79001233920).

Almost surely, 2^{20738687930688} is an apocalyptic number.

20738687930688 is a gapful number since it is divisible by the number (28) 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 20738687930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392552796160).

20738687930688 is an abundant number, since it is smaller than the sum of its proper divisors (50046417661632).

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

20738687930688 is a wasteful number, since it uses less digits than its factorization.

20738687930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 75.

The spelling of 20738687930688 in words is "twenty trillion, seven hundred thirty-eight billion, six hundred eighty-seven million, nine hundred thirty thousand, six hundred eighty-eight".