20678906375040 has 256 divisors, whose sum is σ = 67292117280000. Its totient is φ = 5399810408448.

The previous prime is 20678906375021. The next prime is 20678906375041. The reversal of 20678906375040 is 4057360987602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20678906375041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28757811 + ... + 29468109.

It is an arithmetic number, because the mean of its divisors is an integer number (262859833125).

Almost surely, 2^{20678906375040} is an apocalyptic number.

20678906375040 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 20678906375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33646058640000).

20678906375040 is an abundant number, since it is smaller than the sum of its proper divisors (46613210904960).

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

20678906375040 is a wasteful number, since it uses less digits than its factorization.

20678906375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710637 (or 710625 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 20678906375040 in words is "twenty trillion, six hundred seventy-eight billion, nine hundred six million, three hundred seventy-five thousand, forty".