48536576000 has 448 divisors, whose sum is σ = 137397012480. Its totient is φ = 16957440000.

The previous prime is 48536575981. The next prime is 48536576003. The reversal of 48536576000 is 67563584.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48536576003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349183931 + ... + 349184069.

It is an arithmetic number, because the mean of its divisors is an integer number (306689760).

Almost surely, 2^48536576000 is an apocalyptic number.

48536576000 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 48536576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68698506240).

48536576000 is an abundant number, since it is smaller than the sum of its proper divisors (88860436480).

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

48536576000 is a wasteful number, since it uses less digits than its factorization.

48536576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 48536576000 in words is "forty-eight billion, five hundred thirty-six million, five hundred seventy-six thousand".