48578231520 has 1152 divisors, whose sum is σ = 216218419200. Its totient is φ = 10095611904.

The previous prime is 48578231497. The next prime is 48578231539. The reversal of 48578231520 is 2513287584.

48578231520 is a `hidden beast` number, since 4 + 8 + 578 + 23 + 1 + 52 + 0 = 666.

It is a super-2 number, since 2×48578231520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349483611 + ... + 349483749.

It is an arithmetic number, because the mean of its divisors is an integer number (187689600).

Almost surely, 2^48578231520 is an apocalyptic number.

48578231520 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 48578231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108109209600).

48578231520 is an abundant number, since it is smaller than the sum of its proper divisors (167640187680).

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

48578231520 is a wasteful number, since it uses less digits than its factorization.

48578231520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 48578231520 in words is "forty-eight billion, five hundred seventy-eight million, two hundred thirty-one thousand, five hundred twenty".