48088706455680 has 768 divisors, whose sum is σ = 175997582853120. Its totient is φ = 11139093504000.

The previous prime is 48088706455663. The next prime is 48088706455717. The reversal of 48088706455680 is 8655460788084.

It is a super-3 number, since 3×48088706455680³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5615867079 + ... + 5615875641.

It is an arithmetic number, because the mean of its divisors is an integer number (229163519340).

Almost surely, 2^{48088706455680} is an apocalyptic number.

48088706455680 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 48088706455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87998791426560).

48088706455680 is an abundant number, since it is smaller than the sum of its proper divisors (127908876397440).

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

48088706455680 is a wasteful number, since it uses less digits than its factorization.

48088706455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9681 (or 9658 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 69.

The spelling of 48088706455680 in words is "forty-eight trillion, eighty-eight billion, seven hundred six million, four hundred fifty-five thousand, six hundred eighty".