18820839595752 has 160 divisors (see below), whose sum is σ = 52867987920000. Its totient is φ = 6255512623872.

The previous prime is 18820839595739. The next prime is 18820839595759. The reversal of 18820839595752 is 25759593802881.

It is a happy number.

18820839595752 is a `hidden beast` number, since 1 + 8 + 8 + 20 + 8 + 3 + 9 + 595 + 7 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (18820839595759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 651699249 + ... + 651728127.

It is an arithmetic number, because the mean of its divisors is an integer number (330424924500).

Almost surely, 2^{18820839595752} is an apocalyptic number.

18820839595752 is a gapful number since it is divisible by the number (12) 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 18820839595752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26433993960000).

18820839595752 is an abundant number, since it is smaller than the sum of its proper divisors (34047148324248).

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

18820839595752 is a wasteful number, since it uses less digits than its factorization.

18820839595752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31765 (or 31752 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 18820839595752 in words is "eighteen trillion, eight hundred twenty billion, eight hundred thirty-nine million, five hundred ninety-five thousand, seven hundred fifty-two".