48679531200 has 672 divisors, whose sum is σ = 183684672000. Its totient is φ = 12534681600.

The previous prime is 48679531183. The next prime is 48679531247. The reversal of 48679531200 is 213597684.

48679531200 is a `hidden beast` number, since 48 + 6 + 79 + 531 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180964666 + ... + 180964934.

It is a 1-persistent number, because it is pandigital, but 2⋅48679531200 = 97359062400 is not.

Almost surely, 2^48679531200 is an apocalyptic number.

48679531200 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 48679531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91842336000).

48679531200 is an abundant number, since it is smaller than the sum of its proper divisors (135005140800).

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

48679531200 is a wasteful number, since it uses less digits than its factorization.

48679531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 48679531200 in words is "forty-eight billion, six hundred seventy-nine million, five hundred thirty-one thousand, two hundred".