48086913600 has 840 divisors, whose sum is σ = 195505120800. Its totient is φ = 11496038400.

The previous prime is 48086913521. The next prime is 48086913601. The reversal of 48086913600 is 631968084.

48086913600 is a `hidden beast` number, since 480 + 86 + 91 + 3 + 6 + 0 + 0 = 666.

It is a super-3 number, since 3×48086913600³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48086913601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126878211 + ... + 126878589.

Almost surely, 2^48086913600 is an apocalyptic number.

48086913600 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 48086913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97752560400).

48086913600 is an abundant number, since it is smaller than the sum of its proper divisors (147418207200).

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

48086913600 is a wasteful number, since it uses less digits than its factorization.

48086913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 48086913600 in words is "forty-eight billion, eighty-six million, nine hundred thirteen thousand, six hundred".