48261420000 has 600 divisors, whose sum is σ = 183274483392. Its totient is φ = 12454560000.

The previous prime is 48261419957. The next prime is 48261420001. The reversal of 48261420000 is 2416284.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48261420000 is a `hidden beast` number, since 48 + 2 + 614 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4650 × 2790 × 3720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48261420001) 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 99 ways as a sum of consecutive naturals, for example, 1556819985 + ... + 1556820015.

Almost surely, 2^48261420000 is an apocalyptic number.

48261420000 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 48261420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91637241696).

48261420000 is an abundant number, since it is smaller than the sum of its proper divisors (135013063392).

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

48261420000 is an frugal number, since it uses more digits than its factorization.

48261420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 48261420000 its reverse (2416284), we get a palindrome (48263836284).

The spelling of 48261420000 in words is "forty-eight billion, two hundred sixty-one million, four hundred twenty thousand".