48532128817920 has 288 divisors, whose sum is σ = 169112226366720. Its totient is φ = 11763842334720.

The previous prime is 48532128817873. The next prime is 48532128817943. The reversal of 48532128817920 is 2971882123584.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 345410722 + ... + 345551198.

It is an arithmetic number, because the mean of its divisors is an integer number (587195230440).

Almost surely, 2^{48532128817920} is an apocalyptic number.

48532128817920 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 48532128817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84556113183360).

48532128817920 is an abundant number, since it is smaller than the sum of its proper divisors (120580097548800).

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

48532128817920 is a wasteful number, since it uses less digits than its factorization.

48532128817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148691 (or 148677 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 48532128817920 in words is "forty-eight trillion, five hundred thirty-two billion, one hundred twenty-eight million, eight hundred seventeen thousand, nine hundred twenty".