849252520080 has 320 divisors, whose sum is σ = 2970787000320. Its totient is φ = 222964545024.

The previous prime is 849252520037. The next prime is 849252520097. The reversal of 849252520080 is 80025252948.

849252520080 is a `hidden beast` number, since 8 + 49 + 2 + 5 + 2 + 520 + 0 + 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37661289 + ... + 37683831.

It is an arithmetic number, because the mean of its divisors is an integer number (9283709376).

Almost surely, 2^849252520080 is an apocalyptic number.

849252520080 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 849252520080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485393500160).

849252520080 is an abundant number, since it is smaller than the sum of its proper divisors (2121534480240).

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

849252520080 is a wasteful number, since it uses less digits than its factorization.

849252520080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22835 (or 22823 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 849252520080 in words is "eight hundred forty-nine billion, two hundred fifty-two million, five hundred twenty thousand, eighty".