2020158564480 has 768 divisors, whose sum is σ = 8043566918400. Its totient is φ = 457651814400.

The previous prime is 2020158564349. The next prime is 2020158564491. The reversal of 2020158564480 is 844658510202.

2020158564480 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 5 + 8 + 564 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 3056215350 + ... + 3056216010.

It is an arithmetic number, because the mean of its divisors is an integer number (10473394425).

Almost surely, 2^{2020158564480} is an apocalyptic number.

2020158564480 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 2020158564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021783459200).

2020158564480 is an abundant number, since it is smaller than the sum of its proper divisors (6023408353920).

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

2020158564480 is a wasteful number, since it uses less digits than its factorization.

2020158564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2020158564480 in words is "two trillion, twenty billion, one hundred fifty-eight million, five hundred sixty-four thousand, four hundred eighty".