52144495520832 has 1008 divisors, whose sum is σ = 182442463257600. Its totient is φ = 14037387264000.

The previous prime is 52144495520813. The next prime is 52144495520891. The reversal of 52144495520832 is 23802559444125.

52144495520832 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 4 + 4 + 9 + 552 + 0 + 83 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15118727044 + ... + 15118730492.

It is an arithmetic number, because the mean of its divisors is an integer number (180994507200).

Almost surely, 2^{52144495520832} is an apocalyptic number.

52144495520832 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 52144495520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91221231628800).

52144495520832 is an abundant number, since it is smaller than the sum of its proper divisors (130297967736768).

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

52144495520832 is a wasteful number, since it uses less digits than its factorization.

52144495520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 52144495520832 in words is "fifty-two trillion, one hundred forty-four billion, four hundred ninety-five million, five hundred twenty thousand, eight hundred thirty-two".