100048807680 has 288 divisors, whose sum is σ = 350978019840. Its totient is φ = 24176148480.

The previous prime is 100048807669. The next prime is 100048807687. The reversal of 100048807680 is 86708840001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100048807687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648270 + ... + 1707890.

It is an arithmetic number, because the mean of its divisors is an integer number (1218673680).

Almost surely, 2^100048807680 is an apocalyptic number.

100048807680 is a gapful number since it is divisible by the number (10) 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 100048807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175489009920).

100048807680 is an abundant number, since it is smaller than the sum of its proper divisors (250929212160).

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

100048807680 is a wasteful number, since it uses less digits than its factorization.

100048807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59687 (or 59673 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 100048807680 in words is "one hundred billion, forty-eight million, eight hundred seven thousand, six hundred eighty".