48628725552 has 480 divisors, whose sum is σ = 160539724800. Its totient is φ = 13586227200.

The previous prime is 48628725529. The next prime is 48628725559. The reversal of 48628725552 is 25552782684.

48628725552 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 87 + 2 + 5 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (48628725559) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268666902 + ... + 268667082.

It is an arithmetic number, because the mean of its divisors is an integer number (334457760).

Almost surely, 2^48628725552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48628725552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80269862400).

48628725552 is an abundant number, since it is smaller than the sum of its proper divisors (111910999248).

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

48628725552 is a wasteful number, since it uses less digits than its factorization.

48628725552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 48628725552 in words is "forty-eight billion, six hundred twenty-eight million, seven hundred twenty-five thousand, five hundred fifty-two".