62528578560 has 1320 divisors, whose sum is σ = 277506533304. Its totient is φ = 13377208320.

The previous prime is 62528578559. The next prime is 62528578601. The reversal of 62528578560 is 6587582526.

62528578560 is a `hidden beast` number, since 6 + 2 + 5 + 2 + 8 + 5 + 78 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 61488129024 = 32256^2 + 247968^2 .

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 = 62528578497 and 62528578506.

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 119 ways as a sum of consecutive naturals, for example, 345461670 + ... + 345461850.

Almost surely, 2^62528578560 is an apocalyptic number.

62528578560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62528578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138753266652).

62528578560 is an abundant number, since it is smaller than the sum of its proper divisors (214977954744).

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

62528578560 is a wasteful number, since it uses less digits than its factorization.

62528578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 62528578560 in words is "sixty-two billion, five hundred twenty-eight million, five hundred seventy-eight thousand, five hundred sixty".