52985624186880 has 1872 divisors, whose sum is σ = 241713390993984. Its totient is φ = 11009442447360.

The previous prime is 52985624186867. The next prime is 52985624187019. The reversal of 52985624186880 is 8868142658925.

52985624186880 is a `hidden beast` number, since 5 + 2 + 98 + 5 + 62 + 418 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×52985624186880² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52985624186799 and 52985624186808.

It is a congruent number.

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, 2682399084 + ... + 2682418836.

It is an arithmetic number, because the mean of its divisors is an integer number (129120401172).

Almost surely, 2^{52985624186880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52985624186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120856695496992).

52985624186880 is an abundant number, since it is smaller than the sum of its proper divisors (188727766807104).

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

52985624186880 is a wasteful number, since it uses less digits than its factorization.

52985624186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19822 (or 19781 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 52985624186880 in words is "fifty-two trillion, nine hundred eighty-five billion, six hundred twenty-four million, one hundred eighty-six thousand, eight hundred eighty".