52814618640 has 240 divisors, whose sum is σ = 206845392000. Its totient is φ = 12071856384.

The previous prime is 52814618629. The next prime is 52814618723. The reversal of 52814618640 is 4681641825.

It is a happy number.

52814618640 is a `hidden beast` number, since 5 + 28 + 1 + 4 + 618 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 140031 + ... + 353889.

It is an arithmetic number, because the mean of its divisors is an integer number (861855800).

Almost surely, 2^52814618640 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 52814618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103422696000).

52814618640 is an abundant number, since it is smaller than the sum of its proper divisors (154030773360).

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

52814618640 is a wasteful number, since it uses less digits than its factorization.

52814618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213899 (or 213876 counting only the distinct ones).

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

The spelling of 52814618640 in words is "fifty-two billion, eight hundred fourteen million, six hundred eighteen thousand, six hundred forty".