48098777100 has 144 divisors (see below), whose sum is σ = 152657895936. Its totient is φ = 11595744000.

The previous prime is 48098777081. The next prime is 48098777101. The reversal of 48098777100 is 177789084.

It is a super-3 number, since 3×48098777100³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48098777101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557037 + ... + 637563.

Almost surely, 2^48098777100 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 48098777100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76328947968).

48098777100 is an abundant number, since it is smaller than the sum of its proper divisors (104559118836).

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

48098777100 is a wasteful number, since it uses less digits than its factorization.

48098777100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80736 (or 80729 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 48098777100 in words is "forty-eight billion, ninety-eight million, seven hundred seventy-seven thousand, one hundred".