20312848465920 has 1152 divisors, whose sum is σ = 78517071360000. Its totient is φ = 4963581296640.

The previous prime is 20312848465879. The next prime is 20312848465937. The reversal of 20312848465920 is 2956484821302.

20312848465920 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 8 + 4 + 8 + 46 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20312848465920² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10422189106 + ... + 10422191054.

It is an arithmetic number, because the mean of its divisors is an integer number (68157180000).

Almost surely, 2^{20312848465920} is an apocalyptic number.

20312848465920 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 20312848465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39258535680000).

20312848465920 is an abundant number, since it is smaller than the sum of its proper divisors (58204222894080).

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

20312848465920 is an equidigital number, since it uses as much as digits as its factorization.

20312848465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 20312848465920 in words is "twenty trillion, three hundred twelve billion, eight hundred forty-eight million, four hundred sixty-five thousand, nine hundred twenty".