48132089280 has 336 divisors, whose sum is σ = 180974536704. Its totient is φ = 11644508160.

The previous prime is 48132089279. The next prime is 48132089281. The reversal of 48132089280 is 8298023184.

48132089280 is a `hidden beast` number, since 48 + 1 + 320 + 8 + 9 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (48132089279) and next prime (48132089281).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48132089281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19228509 + ... + 19231011.

Almost surely, 2^48132089280 is an apocalyptic number.

48132089280 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 48132089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90487268352).

48132089280 is an abundant number, since it is smaller than the sum of its proper divisors (132842447424).

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

48132089280 is a wasteful number, since it uses less digits than its factorization.

48132089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48132089280 in words is "forty-eight billion, one hundred thirty-two million, eighty-nine thousand, two hundred eighty".