48532124160 has 320 divisors, whose sum is σ = 185654367360. Its totient is φ = 11946147840.

The previous prime is 48532124153. The next prime is 48532124171. The reversal of 48532124160 is 6142123584.

It is a happy number.

48532124160 is a `hidden beast` number, since 48 + 532 + 1 + 24 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 871555 + ... + 925565.

It is an arithmetic number, because the mean of its divisors is an integer number (580169898).

Almost surely, 2^48532124160 is an apocalyptic number.

48532124160 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 48532124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92827183680).

48532124160 is an abundant number, since it is smaller than the sum of its proper divisors (137122243200).

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

48532124160 is a wasteful number, since it uses less digits than its factorization.

48532124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54056 (or 54034 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 48532124160 in words is "forty-eight billion, five hundred thirty-two million, one hundred twenty-four thousand, one hundred sixty".