4953734184960 has 2040 divisors, whose sum is σ = 20882894414976. Its totient is φ = 1113493340160.

The previous prime is 4953734184929. The next prime is 4953734184967. The reversal of 4953734184960 is 694814373594.

4953734184960 is a `hidden beast` number, since 4 + 9 + 53 + 73 + 418 + 49 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (4953734184967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105398599657 + ... + 105398599703.

Almost surely, 2^{4953734184960} is an apocalyptic number.

4953734184960 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 4953734184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441447207488).

4953734184960 is an abundant number, since it is smaller than the sum of its proper divisors (15929160230016).

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

4953734184960 is an equidigital number, since it uses as much as digits as its factorization.

4953734184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4953734184960 in words is "four trillion, nine hundred fifty-three billion, seven hundred thirty-four million, one hundred eighty-four thousand, nine hundred sixty".