48204564894720 has 2816 divisors, whose sum is σ = 203712985728000. Its totient is φ = 10835538739200.

The previous prime is 48204564894719. The next prime is 48204564894791. The reversal of 48204564894720 is 2749846540284.

It is a happy number.

48204564894720 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 4 + 564 + 8 + 9 + 47 + 20 = 666.

It is a super-3 number, since 3×48204564894720³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80207262420 + ... + 80207263020.

Almost surely, 2^{48204564894720} is an apocalyptic number.

48204564894720 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 48204564894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101856492864000).

48204564894720 is an abundant number, since it is smaller than the sum of its proper divisors (155508420833280).

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

48204564894720 is a wasteful number, since it uses less digits than its factorization.

48204564894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 48204564894720 in words is "forty-eight trillion, two hundred four billion, five hundred sixty-four million, eight hundred ninety-four thousand, seven hundred twenty".