52185783638016 has 768 divisors, whose sum is σ = 180583603200000. Its totient is φ = 14582582378496.

The previous prime is 52185783637997. The next prime is 52185783638059. The reversal of 52185783638016 is 61083638758125.

52185783638016 is a `hidden beast` number, since 5 + 2 + 18 + 578 + 3 + 6 + 38 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4544606611 + ... + 4544618093.

It is an arithmetic number, because the mean of its divisors is an integer number (235134900000).

Almost surely, 2^{52185783638016} is an apocalyptic number.

52185783638016 is a gapful number since it is divisible by the number (56) 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 52185783638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90291801600000).

52185783638016 is an abundant number, since it is smaller than the sum of its proper divisors (128397819561984).

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

52185783638016 is a wasteful number, since it uses less digits than its factorization.

52185783638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 52185783638016 in words is "fifty-two trillion, one hundred eighty-five billion, seven hundred eighty-three million, six hundred thirty-eight thousand, sixteen".