52152116496480 has 1152 divisors, whose sum is σ = 247801756640256. Its totient is φ = 10003195699200.

The previous prime is 52152116496391. The next prime is 52152116496541. The reversal of 52152116496480 is 8469461125125.

It is a happy number.

52152116496480 is a `hidden beast` number, since 5 + 2 + 1 + 5 + 2 + 11 + 64 + 96 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38248870 + ... + 39588890.

It is an arithmetic number, because the mean of its divisors is an integer number (215105691528).

Almost surely, 2^{52152116496480} 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 52152116496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123900878320128).

52152116496480 is an abundant number, since it is smaller than the sum of its proper divisors (195649640143776).

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

52152116496480 is a wasteful number, since it uses less digits than its factorization.

52152116496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340082 (or 1340062 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 52152116496480 in words is "fifty-two trillion, one hundred fifty-two billion, one hundred sixteen million, four hundred ninety-six thousand, four hundred eighty".