52164249480 has 640 divisors, whose sum is σ = 207589536000. Its totient is φ = 11741635584.

The previous prime is 52164249479. The next prime is 52164249509. The reversal of 52164249480 is 8494246125.

It is a happy number.

52164249480 is a `hidden beast` number, since 5 + 2 + 164 + 2 + 4 + 9 + 480 = 666.

It is a super-2 number, since 2×52164249480² (a number of 22 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 81126039 + ... + 81126681.

It is an arithmetic number, because the mean of its divisors is an integer number (324358650).

Almost surely, 2^52164249480 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 52164249480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103794768000).

52164249480 is an abundant number, since it is smaller than the sum of its proper divisors (155425286520).

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

52164249480 is a wasteful number, since it uses less digits than its factorization.

52164249480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 52164249480 in words is "fifty-two billion, one hundred sixty-four million, two hundred forty-nine thousand, four hundred eighty".