48090540000 has 480 divisors, whose sum is σ = 163966438944. Its totient is φ = 12328960000.

The previous prime is 48090539999. The next prime is 48090540019. The reversal of 48090540000 is 4509084.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×48090540000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 48090540000.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 277979914 + ... + 277980086.

Almost surely, 2^48090540000 is an apocalyptic number.

48090540000 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 48090540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81983219472).

48090540000 is an abundant number, since it is smaller than the sum of its proper divisors (115875898944).

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

48090540000 is a wasteful number, since it uses less digits than its factorization.

48090540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 48090540000 in words is "forty-eight billion, ninety million, five hundred forty thousand".