525466112556000 has 1536 divisors, whose sum is σ = 2161463680696320. Its totient is φ = 108412480512000.

The previous prime is 525466112555999. The next prime is 525466112556013. The reversal of 525466112556000 is 655211664525.

It is a super-2 number, since 2×525466112556000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 220506130809 + ... + 220506133191.

It is an arithmetic number, because the mean of its divisors is an integer number (1407202917120).

Almost surely, 2^{525466112556000} is an apocalyptic number.

525466112556000 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 525466112556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080731840348160).

525466112556000 is an abundant number, since it is smaller than the sum of its proper divisors (1635997568140320).

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

525466112556000 is a wasteful number, since it uses less digits than its factorization.

525466112556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 525466112556000 in words is "five hundred twenty-five trillion, four hundred sixty-six billion, one hundred twelve million, five hundred fifty-six thousand".