52978960320 has 896 divisors, whose sum is σ = 208430530560. Its totient is φ = 11225088000.

The previous prime is 52978960319. The next prime is 52978960369. The reversal of 52978960320 is 2306987925.

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 127 ways as a sum of consecutive naturals, for example, 251085015 + ... + 251085225.

It is an arithmetic number, because the mean of its divisors is an integer number (232623360).

Almost surely, 2^52978960320 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 52978960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104215265280).

52978960320 is an abundant number, since it is smaller than the sum of its proper divisors (155451570240).

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

52978960320 is a wasteful number, since it uses less digits than its factorization.

52978960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 52978960320 in words is "fifty-two billion, nine hundred seventy-eight million, nine hundred sixty thousand, three hundred twenty".