8050772459520 has 1920 divisors, whose sum is σ = 35195847321600. Its totient is φ = 1704128937984.

The previous prime is 8050772459507. The next prime is 8050772459549. The reversal of 8050772459520 is 259542770508.

8050772459520 is a `hidden beast` number, since 8 + 0 + 5 + 0 + 7 + 7 + 24 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 127 ways as a sum of consecutive naturals, for example, 19214253871 + ... + 19214254289.

It is an arithmetic number, because the mean of its divisors is an integer number (18331170480).

Almost surely, 2^{8050772459520} is an apocalyptic number.

8050772459520 is a gapful number since it is divisible by the number (80) 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 8050772459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597923660800).

8050772459520 is an abundant number, since it is smaller than the sum of its proper divisors (27145074862080).

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

8050772459520 is a wasteful number, since it uses less digits than its factorization.

8050772459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 8050772459520 in words is "eight trillion, fifty billion, seven hundred seventy-two million, four hundred fifty-nine thousand, five hundred twenty".