48008315520000 has 3520 divisors, whose sum is σ = 208849966617600. Its totient is φ = 10761338880000.

The previous prime is 48008315519993. The next prime is 48008315520023. The reversal of 48008315520000 is 2551380084.

It is a happy number.

48008315520000 is a `hidden beast` number, since 48 + 0 + 0 + 83 + 15 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 268202879911 + ... + 268202880089.

It is an arithmetic number, because the mean of its divisors is an integer number (59332376880).

Almost surely, 2^{48008315520000} is an apocalyptic number.

48008315520000 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 48008315520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104424983308800).

48008315520000 is an abundant number, since it is smaller than the sum of its proper divisors (160841651097600).

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

48008315520000 is a wasteful number, since it uses less digits than its factorization.

48008315520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 48008315520000 in words is "forty-eight trillion, eight billion, three hundred fifteen million, five hundred twenty thousand".