52107784872 has 768 divisors, whose sum is σ = 177591398400. Its totient is φ = 12546293760.

The previous prime is 52107784823. The next prime is 52107784891. The reversal of 52107784872 is 27848770125.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 191 ways as a sum of consecutive naturals, for example, 505900773 + ... + 505900875.

It is an arithmetic number, because the mean of its divisors is an integer number (231238800).

Almost surely, 2^52107784872 is an apocalyptic number.

52107784872 is a gapful number since it is divisible by the number (52) 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 52107784872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88795699200).

52107784872 is an abundant number, since it is smaller than the sum of its proper divisors (125483613528).

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

52107784872 is a wasteful number, since it uses less digits than its factorization.

52107784872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 51.

The spelling of 52107784872 in words is "fifty-two billion, one hundred seven million, seven hundred eighty-four thousand, eight hundred seventy-two".