48087636480 has 480 divisors, whose sum is σ = 185173148160. Its totient is φ = 11452907520.

The previous prime is 48087636433. The next prime is 48087636481. The reversal of 48087636480 is 8463678084.

48087636480 is a `hidden beast` number, since 4 + 80 + 87 + 6 + 3 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×48087636480³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48087636481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9282531 + ... + 9287709.

It is an arithmetic number, because the mean of its divisors is an integer number (385777392).

Almost surely, 2^48087636480 is an apocalyptic number.

48087636480 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 48087636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92586574080).

48087636480 is an abundant number, since it is smaller than the sum of its proper divisors (137085511680).

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

48087636480 is a wasteful number, since it uses less digits than its factorization.

48087636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 48087636480 in words is "forty-eight billion, eighty-seven million, six hundred thirty-six thousand, four hundred eighty".