5061253680 has 640 divisors, whose sum is σ = 20898662400. Its totient is φ = 1101828096.

The previous prime is 5061253679. The next prime is 5061253693. The reversal of 5061253680 is 863521605.

5061253680 is a `hidden beast` number, since 5 + 0 + 612 + 5 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46433466 + ... + 46433574.

It is an arithmetic number, because the mean of its divisors is an integer number (32654160).

Almost surely, 2^5061253680 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 5061253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449331200).

5061253680 is an abundant number, since it is smaller than the sum of its proper divisors (15837408720).

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

5061253680 is a wasteful number, since it uses less digits than its factorization.

5061253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5061253680 is about 71142.4885704738. The cubic root of 5061253680 is about 1716.9304455735.

The spelling of 5061253680 in words is "five billion, sixty-one million, two hundred fifty-three thousand, six hundred eighty".