48985664716800 has 3060 divisors, whose sum is σ = 218810590094976. Its totient is φ = 10835538739200.

The previous prime is 48985664716753. The next prime is 48985664716837. The reversal of 48985664716800 is 861746658984.

48985664716800 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 566 + 47 + 16 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1580182732785 + ... + 1580182732815.

Almost surely, 2^{48985664716800} is an apocalyptic number.

48985664716800 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 48985664716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109405295047488).

48985664716800 is an abundant number, since it is smaller than the sum of its proper divisors (169824925378176).

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

48985664716800 is an frugal number, since it uses more digits than its factorization.

48985664716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 48985664716800 in words is "forty-eight trillion, nine hundred eighty-five billion, six hundred sixty-four million, seven hundred sixteen thousand, eight hundred".