52918248240 has 1280 divisors, whose sum is σ = 230385254400. Its totient is φ = 10973491200.

The previous prime is 52918248161. The next prime is 52918248281. The reversal of 52918248240 is 4284281925.

52918248240 is a `hidden beast` number, since 5 + 2 + 91 + 82 + 482 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 416679057 + ... + 416679183.

It is an arithmetic number, because the mean of its divisors is an integer number (179988480).

Almost surely, 2^52918248240 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 52918248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115192627200).

52918248240 is an abundant number, since it is smaller than the sum of its proper divisors (177467006160).

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

52918248240 is a wasteful number, since it uses less digits than its factorization.

52918248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 52918248240 in words is "fifty-two billion, nine hundred eighteen million, two hundred forty-eight thousand, two hundred forty".