48587068615680 has 3520 divisors, whose sum is σ = 217028406177792. Its totient is φ = 10153301114880.

The previous prime is 48587068615663. The next prime is 48587068615807. The reversal of 48587068615680 is 8651686078584.

48587068615680 is a `hidden beast` number, since 4 + 8 + 58 + 7 + 0 + 6 + 8 + 6 + 1 + 568 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48587068615599 and 48587068615608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 175404579702 + ... + 175404579978.

Almost surely, 2^{48587068615680} is an apocalyptic number.

48587068615680 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 48587068615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108514203088896).

48587068615680 is an abundant number, since it is smaller than the sum of its proper divisors (168441337562112).

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

48587068615680 is a wasteful number, since it uses less digits than its factorization.

48587068615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 48587068615680 in words is "forty-eight trillion, five hundred eighty-seven billion, sixty-eight million, six hundred fifteen thousand, six hundred eighty".