20790771302400 has 1440 divisors, whose sum is σ = 80018913961728. Its totient is φ = 4707267379200.

The previous prime is 20790771302369. The next prime is 20790771302429. The reversal of 20790771302400 is 420317709702.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39752908539 + ... + 39752909061.

Almost surely, 2^{20790771302400} is an apocalyptic number.

20790771302400 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 20790771302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40009456980864).

20790771302400 is an abundant number, since it is smaller than the sum of its proper divisors (59228142659328).

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

20790771302400 is a wasteful number, since it uses less digits than its factorization.

20790771302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 20790771302400 in words is "twenty trillion, seven hundred ninety billion, seven hundred seventy-one million, three hundred two thousand, four hundred".