48507036480 has 1008 divisors, whose sum is σ = 207788256000. Its totient is φ = 10325532672.

The previous prime is 48507036467. The next prime is 48507036481. The reversal of 48507036480 is 8463070584.

48507036480 is a `hidden beast` number, since 4 + 8 + 507 + 0 + 3 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48507036481) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 211821006 + ... + 211821234.

Almost surely, 2^48507036480 is an apocalyptic number.

48507036480 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 48507036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894128000).

48507036480 is an abundant number, since it is smaller than the sum of its proper divisors (159281219520).

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

48507036480 is a wasteful number, since it uses less digits than its factorization.

48507036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48507036480 in words is "forty-eight billion, five hundred seven million, thirty-six thousand, four hundred eighty".