4965005537280 has 312 divisors, whose sum is σ = 17534668056048. Its totient is φ = 1299017760768.

The previous prime is 4965005537257. The next prime is 4965005537311. The reversal of 4965005537280 is 827355005694.

4965005537280 is a `hidden beast` number, since 4 + 9 + 6 + 5 + 0 + 0 + 553 + 7 + 2 + 80 = 666.

It is a super-2 number, since 2×4965005537280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9514839 + ... + 10023081.

It is an arithmetic number, because the mean of its divisors is an integer number (56200859154).

Almost surely, 2^{4965005537280} is an apocalyptic number.

4965005537280 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 4965005537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767334028024).

4965005537280 is an abundant number, since it is smaller than the sum of its proper divisors (12569662518768).

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

4965005537280 is a wasteful number, since it uses less digits than its factorization.

4965005537280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508331 (or 508306 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4965005537280 in words is "four trillion, nine hundred sixty-five billion, five million, five hundred thirty-seven thousand, two hundred eighty".