20077295576352 has 288 divisors, whose sum is σ = 64147437914112. Its totient is φ = 5472001092096.

The previous prime is 20077295576309. The next prime is 20077295576353. The reversal of 20077295576352 is 25367559277002.

It is not an unprimeable number, because it can be changed into a prime (20077295576353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39453643 + ... + 39959285.

It is an arithmetic number, because the mean of its divisors is an integer number (222734159424).

Almost surely, 2^{20077295576352} 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 20077295576352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32073718957056).

20077295576352 is an abundant number, since it is smaller than the sum of its proper divisors (44070142337760).

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

20077295576352 is a wasteful number, since it uses less digits than its factorization.

20077295576352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506060 (or 506045 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 60.

The spelling of 20077295576352 in words is "twenty trillion, seventy-seven billion, two hundred ninety-five million, five hundred seventy-six thousand, three hundred fifty-two".