5827163501952 has 576 divisors, whose sum is σ = 19201042224000. Its totient is φ = 1692743270400.

The previous prime is 5827163501923. The next prime is 5827163501981. The reversal of 5827163501952 is 2591053617285.

5827163501952 is a `hidden beast` number, since 5 + 8 + 2 + 71 + 63 + 501 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5827163501923) and next prime (5827163501981).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 247436674 + ... + 247460222.

It is an arithmetic number, because the mean of its divisors is an integer number (33335142750).

Almost surely, 2^{5827163501952} is an apocalyptic number.

5827163501952 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 5827163501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600521112000).

5827163501952 is an abundant number, since it is smaller than the sum of its proper divisors (13373878722048).

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

5827163501952 is a wasteful number, since it uses less digits than its factorization.

5827163501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23667 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5827163501952 in words is "five trillion, eight hundred twenty-seven billion, one hundred sixty-three million, five hundred one thousand, nine hundred fifty-two".