20295864755712 has 1920 divisors, whose sum is σ = 78217137782784. Its totient is φ = 5111264083968.

The previous prime is 20295864755689. The next prime is 20295864755717. The reversal of 20295864755712 is 21755746859202.

It is a happy number.

20295864755712 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 5 + 8 + 64 + 7 + 557 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20295864755712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20295864755717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22881470533 + ... + 22881471419.

Almost surely, 2^{20295864755712} 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 20295864755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39108568891392).

20295864755712 is an abundant number, since it is smaller than the sum of its proper divisors (57921273027072).

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

20295864755712 is an equidigital number, since it uses as much as digits as its factorization.

20295864755712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 20295864755712 in words is "twenty trillion, two hundred ninety-five billion, eight hundred sixty-four million, seven hundred fifty-five thousand, seven hundred twelve".