52016653440 has 256 divisors, whose sum is σ = 184672224000. Its totient is φ = 13837492224.

The previous prime is 52016653439. The next prime is 52016653441. The reversal of 52016653440 is 4435661025.

52016653440 is a `hidden beast` number, since 5 + 2 + 0 + 166 + 53 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (52016653439) and next prime (52016653441).

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 = 52016653395 and 52016653404.

It is not an unprimeable number, because it can be changed into a prime (52016653441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7582492 + ... + 7589348.

It is an arithmetic number, because the mean of its divisors is an integer number (721375875).

Almost surely, 2^52016653440 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 52016653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92336112000).

52016653440 is an abundant number, since it is smaller than the sum of its proper divisors (132655570560).

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

52016653440 is a wasteful number, since it uses less digits than its factorization.

52016653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52016653440 in words is "fifty-two billion, sixteen million, six hundred fifty-three thousand, four hundred forty".