52979633303040 has 480 divisors, whose sum is σ = 184234611132000. Its totient is φ = 14070180741120.

The previous prime is 52979633302993. The next prime is 52979633303053. The reversal of 52979633303040 is 4030333697925.

52979633303040 is a `hidden beast` number, since 5 + 297 + 9 + 6 + 3 + 3 + 303 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5906967676 + ... + 5906976644.

It is an arithmetic number, because the mean of its divisors is an integer number (383822106525).

Almost surely, 2^{52979633303040} 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 52979633303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92117305566000).

52979633303040 is an abundant number, since it is smaller than the sum of its proper divisors (131254977828960).

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

52979633303040 is a wasteful number, since it uses less digits than its factorization.

52979633303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 52979633303040 in words is "fifty-two trillion, nine hundred seventy-nine billion, six hundred thirty-three million, three hundred three thousand, forty".