48532080000 has 640 divisors, whose sum is σ = 175893696000. Its totient is φ = 11805696000.

The previous prime is 48532079963. The next prime is 48532080007. The reversal of 48532080000 is 8023584.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 48532080000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48532080007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132239817 + ... + 132240183.

It is an arithmetic number, because the mean of its divisors is an integer number (274833900).

Almost surely, 2^48532080000 is an apocalyptic number.

48532080000 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 48532080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87946848000).

48532080000 is an abundant number, since it is smaller than the sum of its proper divisors (127361616000).

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

48532080000 is a wasteful number, since it uses less digits than its factorization.

48532080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 48532080000 in words is "forty-eight billion, five hundred thirty-two million, eighty thousand".