52678563840 has 960 divisors, whose sum is σ = 221854913280. Its totient is φ = 11705057280.

The previous prime is 52678563803. The next prime is 52678563863. The reversal of 52678563840 is 4836587625.

52678563840 is a `hidden beast` number, since 5 + 2 + 6 + 78 + 563 + 8 + 4 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 249661335 + ... + 249661545.

It is an arithmetic number, because the mean of its divisors is an integer number (231098868).

Almost surely, 2^52678563840 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 52678563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110927456640).

52678563840 is an abundant number, since it is smaller than the sum of its proper divisors (169176349440).

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

52678563840 is a wasteful number, since it uses less digits than its factorization.

52678563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 52678563840 in words is "fifty-two billion, six hundred seventy-eight million, five hundred sixty-three thousand, eight hundred forty".