52578754560 has 224 divisors, whose sum is σ = 186939204480. Its totient is φ = 14020706304.

The previous prime is 52578754537. The next prime is 52578754583. The reversal of 52578754560 is 6545787525.

52578754560 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 8 + 75 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (52578754537) and next prime (52578754583).

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

It is a junction number, because it is equal to n+sod(n) for n = 52578754497 and 52578754506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082149 + ... + 1129691.

It is an arithmetic number, because the mean of its divisors is an integer number (834550020).

Almost surely, 2^52578754560 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 52578754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93469602240).

52578754560 is an abundant number, since it is smaller than the sum of its proper divisors (134360449920).

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

52578754560 is an equidigital number, since it uses as much as digits as its factorization.

52578754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47583 (or 47553 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 52578754560 in words is "fifty-two billion, five hundred seventy-eight million, seven hundred fifty-four thousand, five hundred sixty".