20197786752000 has 4224 divisors, whose sum is σ = 93733394227200. Its totient is φ = 4263985152000.

The previous prime is 20197786751959. The next prime is 20197786752001. The reversal of 20197786752000 is 25768779102.

It is a happy number.

20197786752000 is a `hidden beast` number, since 20 + 1 + 97 + 7 + 8 + 6 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20197786752001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 84509567881 + ... + 84509568119.

Almost surely, 2^{20197786752000} is an apocalyptic number.

20197786752000 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 20197786752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46866697113600).

20197786752000 is an abundant number, since it is smaller than the sum of its proper divisors (73535607475200).

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

20197786752000 is a wasteful number, since it uses less digits than its factorization.

20197786752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

It can be divided in two parts, 2019778 and 6752000, that added together give a palindrome (8771778).

The spelling of 20197786752000 in words is "twenty trillion, one hundred ninety-seven billion, seven hundred eighty-six million, seven hundred fifty-two thousand".