2050823558160 has 960 divisors, whose sum is σ = 7928555754240. Its totient is φ = 492772460544.

The previous prime is 2050823558131. The next prime is 2050823558167. The reversal of 2050823558160 is 618553280502.

2050823558160 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 8 + 2 + 3 + 5 + 581 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2050823558167) 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, 1271433514 + ... + 1271435126.

It is an arithmetic number, because the mean of its divisors is an integer number (8258912244).

Almost surely, 2^{2050823558160} is an apocalyptic number.

2050823558160 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 2050823558160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964277877120).

2050823558160 is an abundant number, since it is smaller than the sum of its proper divisors (5877732196080).

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

2050823558160 is a wasteful number, since it uses less digits than its factorization.

2050823558160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2050823558160 in words is "two trillion, fifty billion, eight hundred twenty-three million, five hundred fifty-eight thousand, one hundred sixty".