48029780897280 has 5760 divisors, whose sum is σ = 235351496540160. Its totient is φ = 8786914836480.

The previous prime is 48029780897213. The next prime is 48029780897291. The reversal of 48029780897280 is 8279808792084.

48029780897280 is a `hidden beast` number, since 48 + 0 + 297 + 80 + 89 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×48029780897280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48029780897199 and 48029780897208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 539660459476 + ... + 539660459564.

It is an arithmetic number, because the mean of its divisors is an integer number (40859634816).

Almost surely, 2^{48029780897280} is an apocalyptic number.

48029780897280 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 48029780897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117675748270080).

48029780897280 is an abundant number, since it is smaller than the sum of its proper divisors (187321715642880).

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

48029780897280 is a wasteful number, since it uses less digits than its factorization.

48029780897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 48029780897280 in words is "forty-eight trillion, twenty-nine billion, seven hundred eighty million, eight hundred ninety-seven thousand, two hundred eighty".