52827768432000 has 1536 divisors, whose sum is σ = 199475377920000. Its totient is φ = 13893484953600.

The previous prime is 52827768431983. The next prime is 52827768432133. The reversal of 52827768432000 is 23486772825.

52827768432000 is a `hidden beast` number, since 5 + 2 + 82 + 77 + 68 + 432 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129163247796 + ... + 129163248204.

It is an arithmetic number, because the mean of its divisors is an integer number (129866782500).

Almost surely, 2^{52827768432000} is an apocalyptic number.

52827768432000 is a gapful number since it is divisible by the number (50) 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 52827768432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99737688960000).

52827768432000 is an abundant number, since it is smaller than the sum of its proper divisors (146647609488000).

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

52827768432000 is a wasteful number, since it uses less digits than its factorization.

52827768432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 52827768432000 in words is "fifty-two trillion, eight hundred twenty-seven billion, seven hundred sixty-eight million, four hundred thirty-two thousand".