48267535680 has 1008 divisors, whose sum is σ = 212546939904. Its totient is φ = 9833840640.

The previous prime is 48267535669. The next prime is 48267535691. The reversal of 48267535680 is 8653576284.

48267535680 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 75 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48267535669) and next prime (48267535691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105618012 + ... + 105618468.

Almost surely, 2^48267535680 is an apocalyptic number.

48267535680 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 48267535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106273469952).

48267535680 is an abundant number, since it is smaller than the sum of its proper divisors (164279404224).

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

48267535680 is a wasteful number, since it uses less digits than its factorization.

48267535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 48267535680 in words is "forty-eight billion, two hundred sixty-seven million, five hundred thirty-five thousand, six hundred eighty".