48727719936 has 432 divisors, whose sum is σ = 168547463280. Its totient is φ = 13872660480.

The previous prime is 48727719907. The next prime is 48727719947. The reversal of 48727719936 is 63991772784.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×48727719936² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173408116 + ... + 173408396.

It is an arithmetic number, because the mean of its divisors is an integer number (390156165).

Almost surely, 2^48727719936 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 48727719936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84273731640).

48727719936 is an abundant number, since it is smaller than the sum of its proper divisors (119819743344).

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

48727719936 is an frugal number, since it uses more digits than its factorization.

48727719936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 293 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 48727719936 in words is "forty-eight billion, seven hundred twenty-seven million, seven hundred nineteen thousand, nine hundred thirty-six".