20774766025200 has 480 divisors, whose sum is σ = 73407703606272. Its totient is φ = 5021903462400.

The previous prime is 20774766025199. The next prime is 20774766025213. The reversal of 20774766025200 is 252066747702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20774766025200.

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, 563793177 + ... + 563830023.

Almost surely, 2^{20774766025200} is an apocalyptic number.

20774766025200 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 20774766025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36703851803136).

20774766025200 is an abundant number, since it is smaller than the sum of its proper divisors (52632937581072).

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

20774766025200 is a wasteful number, since it uses less digits than its factorization.

20774766025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37254 (or 37221 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 20774766025200 in words is "twenty trillion, seven hundred seventy-four billion, seven hundred sixty-six million, twenty-five thousand, two hundred".