48272724489600 has 2304 divisors, whose sum is σ = 204663702559680. Its totient is φ = 11129837322240.

The previous prime is 48272724489599. The next prime is 48272724489623. The reversal of 48272724489600 is 698442727284.

48272724489600 is a `hidden beast` number, since 4 + 8 + 2 + 72 + 7 + 24 + 489 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44165346654 + ... + 44165347746.

Almost surely, 2^{48272724489600} is an apocalyptic number.

48272724489600 is a gapful number since it is divisible by the number (40) 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 48272724489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102331851279840).

48272724489600 is an abundant number, since it is smaller than the sum of its proper divisors (156390978070080).

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

48272724489600 is a wasteful number, since it uses less digits than its factorization.

48272724489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 48272724489600 in words is "forty-eight trillion, two hundred seventy-two billion, seven hundred twenty-four million, four hundred eighty-nine thousand, six hundred".