20245675177728 has 2592 divisors, whose sum is σ = 82307668771328. Its totient is φ = 4653596344320.

The previous prime is 20245675177699. The next prime is 20245675177751. The reversal of 20245675177728 is 82777157654202.

20245675177728 is a `hidden beast` number, since 2 + 0 + 2 + 45 + 6 + 7 + 517 + 7 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73089079926 + ... + 73089080202.

Almost surely, 2^{20245675177728} is an apocalyptic number.

20245675177728 is a gapful number since it is divisible by the number (28) 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 20245675177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41153834385664).

20245675177728 is an abundant number, since it is smaller than the sum of its proper divisors (62061993593600).

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

20245675177728 is a wasteful number, since it uses less digits than its factorization.

20245675177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 20245675177728 in words is "twenty trillion, two hundred forty-five billion, six hundred seventy-five million, one hundred seventy-seven thousand, seven hundred twenty-eight".