48680508588480 has 336 divisors, whose sum is σ = 169043922272160. Its totient is φ = 12857335873536.

The previous prime is 48680508588431. The next prime is 48680508588521. The reversal of 48680508588480 is 8488580508684.

48680508588480 is a `hidden beast` number, since 4 + 8 + 68 + 0 + 5 + 0 + 8 + 5 + 88 + 480 = 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 = 48680508588399 and 48680508588408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458491879 + ... + 458598041.

Almost surely, 2^{48680508588480} is an apocalyptic number.

48680508588480 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 48680508588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84521961136080).

48680508588480 is an abundant number, since it is smaller than the sum of its proper divisors (120363413683680).

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

48680508588480 is a wasteful number, since it uses less digits than its factorization.

48680508588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107708 (or 107695 counting only the distinct ones).

The product of its (nonzero) digits is 629145600, while the sum is 72.

The spelling of 48680508588480 in words is "forty-eight trillion, six hundred eighty billion, five hundred eight million, five hundred eighty-eight thousand, four hundred eighty".