48802871040 has 1728 divisors, whose sum is σ = 223471664640. Its totient is φ = 8918138880.

The previous prime is 48802870993. The next prime is 48802871063. The reversal of 48802871040 is 4017820884.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48802870983 and 48802871001.

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, 668532444 + ... + 668532516.

It is an arithmetic number, because the mean of its divisors is an integer number (129323880).

Almost surely, 2^48802871040 is an apocalyptic number.

48802871040 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 48802871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111735832320).

48802871040 is an abundant number, since it is smaller than the sum of its proper divisors (174668793600).

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

48802871040 is a wasteful number, since it uses less digits than its factorization.

48802871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 48802871040 in words is "forty-eight billion, eight hundred two million, eight hundred seventy-one thousand, forty".