20250455761728 has 1344 divisors, whose sum is σ = 65998495180800. Its totient is φ = 6140483002368.

The previous prime is 20250455761709. The next prime is 20250455761729. The reversal of 20250455761728 is 82716755405202.

It is a happy number.

20250455761728 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 0 + 4 + 557 + 61 + 7 + 28 = 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 (20250455761729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135909098998 + ... + 135909099146.

It is an arithmetic number, because the mean of its divisors is an integer number (49106023200).

Almost surely, 2^{20250455761728} 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 20250455761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32999247590400).

20250455761728 is an abundant number, since it is smaller than the sum of its proper divisors (45748039419072).

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

20250455761728 is a wasteful number, since it uses less digits than its factorization.

20250455761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 20250455761728 in words is "twenty trillion, two hundred fifty billion, four hundred fifty-five million, seven hundred sixty-one thousand, seven hundred twenty-eight".