48057878016 has 200 divisors, whose sum is σ = 147321575280. Its totient is φ = 15585841152.

The previous prime is 48057878009. The next prime is 48057878039. The reversal of 48057878016 is 61087875084.

It is a happy number.

48057878016 is a `hidden beast` number, since 480 + 5 + 7 + 87 + 80 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1518805 + ... + 1550123.

Almost surely, 2^48057878016 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 48057878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73660787640).

48057878016 is an abundant number, since it is smaller than the sum of its proper divisors (99263697264).

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

48057878016 is an equidigital number, since it uses as much as digits as its factorization.

48057878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31386 (or 31361 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 48057878016 in words is "forty-eight billion, fifty-seven million, eight hundred seventy-eight thousand, sixteen".