4953872867328 has 1848 divisors, whose sum is σ = 19850931159120. Its totient is φ = 1218998108160.

The previous prime is 4953872867303. The next prime is 4953872867381. The reversal of 4953872867328 is 8237682783594.

4953872867328 is a `hidden beast` number, since 4 + 9 + 538 + 7 + 2 + 8 + 67 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

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

Its product of digits (975421440) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 260730150903 + ... + 260730150921.

Almost surely, 2^{4953872867328} is an apocalyptic number.

4953872867328 is a gapful number since it is divisible by the number (48) 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 4953872867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925465579560).

4953872867328 is an abundant number, since it is smaller than the sum of its proper divisors (14897058291792).

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

4953872867328 is an frugal number, since it uses more digits than its factorization.

4953872867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 4953872867328 in words is "four trillion, nine hundred fifty-three billion, eight hundred seventy-two million, eight hundred sixty-seven thousand, three hundred twenty-eight".