48680628421680 has 320 divisors, whose sum is σ = 171190883082240. Its totient is φ = 12711423052800.

The previous prime is 48680628421567. The next prime is 48680628421687. The reversal of 48680628421680 is 8612482608684.

48680628421680 is a `hidden beast` number, since 4 + 8 + 68 + 0 + 6 + 284 + 216 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (48680628421687) 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 63 ways as a sum of consecutive naturals, for example, 28554085 + ... + 30210875.

It is an arithmetic number, because the mean of its divisors is an integer number (534971509632).

Almost surely, 2^{48680628421680} is an apocalyptic number.

48680628421680 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 48680628421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85595441541120).

48680628421680 is an abundant number, since it is smaller than the sum of its proper divisors (122510254660560).

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

48680628421680 is a wasteful number, since it uses less digits than its factorization.

48680628421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657097 (or 1657085 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 48680628421680 in words is "forty-eight trillion, six hundred eighty billion, six hundred twenty-eight million, four hundred twenty-one thousand, six hundred eighty".