59925268260 has 768 divisors, whose sum is σ = 234101145600. Its totient is φ = 12502425600.

The previous prime is 59925268259. The next prime is 59925268279. The reversal of 59925268260 is 6286252995.

59925268260 is a `hidden beast` number, since 5 + 9 + 92 + 526 + 8 + 26 + 0 = 666.

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 = 59925268197 and 59925268206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 250733221 + ... + 250733459.

It is an arithmetic number, because the mean of its divisors is an integer number (304819200).

Almost surely, 2^59925268260 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 59925268260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117050572800).

59925268260 is an abundant number, since it is smaller than the sum of its proper divisors (174175877340).

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

59925268260 is a wasteful number, since it uses less digits than its factorization.

59925268260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 59925268260 in words is "fifty-nine billion, nine hundred twenty-five million, two hundred sixty-eight thousand, two hundred sixty".