52506685440 has 1248 divisors, whose sum is σ = 220803148800. Its totient is φ = 11395399680.

The previous prime is 52506685409. The next prime is 52506685463. The reversal of 52506685440 is 4458660525.

52506685440 is a `hidden beast` number, since 52 + 50 + 6 + 6 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117163497 + ... + 1117163543.

It is an arithmetic number, because the mean of its divisors is an integer number (176925600).

Almost surely, 2^52506685440 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 52506685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110401574400).

52506685440 is an abundant number, since it is smaller than the sum of its proper divisors (168296463360).

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

52506685440 is a wasteful number, since it uses less digits than its factorization.

52506685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 52506685440 in words is "fifty-two billion, five hundred six million, six hundred eighty-five thousand, four hundred forty".