59828920272 has 80 divisors (see below), whose sum is σ = 187343098560. Its totient is φ = 18129974400.

The previous prime is 59828920219. The next prime is 59828920273. The reversal of 59828920272 is 27202982895.

59828920272 is a `hidden beast` number, since 5 + 98 + 289 + 2 + 0 + 272 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59828920273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6290379 + ... + 6299882.

It is an arithmetic number, because the mean of its divisors is an integer number (2341788732).

Almost surely, 2^59828920272 is an apocalyptic number.

It is an amenable number.

59828920272 is an abundant number, since it is smaller than the sum of its proper divisors (127514178288).

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

59828920272 is a wasteful number, since it uses less digits than its factorization.

59828920272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590289 (or 12590277 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 59828 and 920272, that added together give a square (980100 = 990²).

The spelling of 59828920272 in words is "fifty-nine billion, eight hundred twenty-eight million, nine hundred twenty thousand, two hundred seventy-two".