52408300976640 has 960 divisors, whose sum is σ = 227770908228864. Its totient is φ = 11274374873088.

The previous prime is 52408300976621. The next prime is 52408300976663. The reversal of 52408300976640 is 4667900380425.

52408300976640 is a `hidden beast` number, since 5 + 240 + 8 + 300 + 97 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×52408300976640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73673542 + ... + 74381498.

Almost surely, 2^{52408300976640} 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 52408300976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113885454114432).

52408300976640 is an abundant number, since it is smaller than the sum of its proper divisors (175362607252224).

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

52408300976640 is an equidigital number, since it uses as much as digits as its factorization.

52408300976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708019 (or 707991 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 52408300976640 in words is "fifty-two trillion, four hundred eight billion, three hundred million, nine hundred seventy-six thousand, six hundred forty".