48506098080 has 384 divisors, whose sum is σ = 172691398656. Its totient is φ = 11342643200.

The previous prime is 48506098063. The next prime is 48506098087. The reversal of 48506098080 is 8089060584.

It is a Cunningham number, because it is equal to 220241²-1.

It is a super-3 number, since 3×48506098080³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48506098087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17617984 + ... + 17620736.

It is an arithmetic number, because the mean of its divisors is an integer number (449717184).

Almost surely, 2^48506098080 is an apocalyptic number.

48506098080 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 48506098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86345699328).

48506098080 is an abundant number, since it is smaller than the sum of its proper divisors (124185300576).

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

48506098080 is a wasteful number, since it uses less digits than its factorization.

48506098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 48506098080 in words is "forty-eight billion, five hundred six million, ninety-eight thousand, eighty".