20877575375328 has 192 divisors, whose sum is σ = 63348466406400. Its totient is φ = 5897237778432.

The previous prime is 20877575375317. The next prime is 20877575375351. The reversal of 20877575375328 is 82357357577802.

It is a super-2 number, since 2×20877575375328² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20498100 + ... + 21492492.

It is an arithmetic number, because the mean of its divisors is an integer number (329939929200).

Almost surely, 2^{20877575375328} is an apocalyptic number.

20877575375328 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 20877575375328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31674233203200).

20877575375328 is an abundant number, since it is smaller than the sum of its proper divisors (42470891031072).

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

20877575375328 is a wasteful number, since it uses less digits than its factorization.

20877575375328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994769 (or 994761 counting only the distinct ones).

The product of its (nonzero) digits is 691488000, while the sum is 69.

The spelling of 20877575375328 in words is "twenty trillion, eight hundred seventy-seven billion, five hundred seventy-five million, three hundred seventy-five thousand, three hundred twenty-eight".