48584824928640 has 3840 divisors, whose sum is σ = 241243288070400. Its totient is φ = 9156977786880.

The previous prime is 48584824928603. The next prime is 48584824928641. The reversal of 48584824928640 is 4682942848584.

48584824928640 is a `hidden beast` number, since 4 + 8 + 58 + 4 + 8 + 2 + 492 + 86 + 4 + 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 not an unprimeable number, because it can be changed into a prime (48584824928641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21431328787 + ... + 21431331053.

It is an arithmetic number, because the mean of its divisors is an integer number (62823772935).

Almost surely, 2^{48584824928640} is an apocalyptic number.

48584824928640 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 48584824928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120621644035200).

48584824928640 is an abundant number, since it is smaller than the sum of its proper divisors (192658463141760).

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

48584824928640 is a wasteful number, since it uses less digits than its factorization.

48584824928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1132462080, while the sum is 72.

The spelling of 48584824928640 in words is "forty-eight trillion, five hundred eighty-four billion, eight hundred twenty-four million, nine hundred twenty-eight thousand, six hundred forty".