527121112320 has 1152 divisors, whose sum is σ = 2132464320000. Its totient is φ = 122128957440.

The previous prime is 527121112307. The next prime is 527121112321. The reversal of 527121112320 is 23211121725.

It is a happy number.

527121112320 is a `hidden beast` number, since 52 + 71 + 211 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527121112321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1510375506 + ... + 1510375854.

It is an arithmetic number, because the mean of its divisors is an integer number (1851097500).

Almost surely, 2^527121112320 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 527121112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066232160000).

527121112320 is an abundant number, since it is smaller than the sum of its proper divisors (1605343207680).

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

527121112320 is a wasteful number, since it uses less digits than its factorization.

527121112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 527121112320 in words is "five hundred twenty-seven billion, one hundred twenty-one million, one hundred twelve thousand, three hundred twenty".