20450829514752 has 2880 divisors, whose sum is σ = 82821426760800. Its totient is φ = 4952539791360.

The previous prime is 20450829514751. The next prime is 20450829514771. The reversal of 20450829514752 is 25741592805402.

20450829514752 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 0 + 82 + 95 + 1 + 475 + 2 = 666.

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 (20450829514751) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 498800719852 + ... + 498800719892.

Almost surely, 2^{20450829514752} 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 20450829514752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41410713380400).

20450829514752 is an abundant number, since it is smaller than the sum of its proper divisors (62370597246048).

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

20450829514752 is an equidigital number, since it uses as much as digits as its factorization.

20450829514752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 20450829514752 in words is "twenty trillion, four hundred fifty billion, eight hundred twenty-nine million, five hundred fourteen thousand, seven hundred fifty-two".