48291965280 has 576 divisors, whose sum is σ = 192337104960. Its totient is φ = 10924720128.

The previous prime is 48291965273. The next prime is 48291965303. The reversal of 48291965280 is 8256919284.

It is a happy number.

48291965280 is a `hidden beast` number, since 4 + 8 + 29 + 1 + 96 + 528 + 0 = 666.

It is a super-2 number, since 2×48291965280² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13682556 + ... + 13686084.

It is an arithmetic number, because the mean of its divisors is an integer number (333918585).

Almost surely, 2^48291965280 is an apocalyptic number.

48291965280 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 48291965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96168552480).

48291965280 is an abundant number, since it is smaller than the sum of its proper divisors (144045139680).

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

48291965280 is a wasteful number, since it uses less digits than its factorization.

48291965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 48291965280 in words is "forty-eight billion, two hundred ninety-one million, nine hundred sixty-five thousand, two hundred eighty".