52175521440 has 1152 divisors, whose sum is σ = 228973651200. Its totient is φ = 11161608192.

The previous prime is 52175521373. The next prime is 52175521441. The reversal of 52175521440 is 4412557125.

52175521440 is a `hidden beast` number, since 5 + 21 + 75 + 521 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52175521395 and 52175521404.

It is not an unprimeable number, because it can be changed into a prime (52175521441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291483271 + ... + 291483449.

It is an arithmetic number, because the mean of its divisors is an integer number (198761850).

Almost surely, 2^52175521440 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 52175521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114486825600).

52175521440 is an abundant number, since it is smaller than the sum of its proper divisors (176798129760).

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

52175521440 is a wasteful number, since it uses less digits than its factorization.

52175521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 52175521440 in words is "fifty-two billion, one hundred seventy-five million, five hundred twenty-one thousand, four hundred forty".