4953968640000 has 1920 divisors, whose sum is σ = 20112806841600. Its totient is φ = 1203240960000.

The previous prime is 4953968639999. The next prime is 4953968640011. The reversal of 4953968640000 is 468693594.

4953968640000 is a `hidden beast` number, since 4 + 9 + 539 + 68 + 6 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4953968640000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 159805439985 + ... + 159805440015.

It is an arithmetic number, because the mean of its divisors is an integer number (10475420230).

Almost surely, 2^{4953968640000} is an apocalyptic number.

4953968640000 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 4953968640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10056403420800).

4953968640000 is an abundant number, since it is smaller than the sum of its proper divisors (15158838201600).

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

4953968640000 is an frugal number, since it uses more digits than its factorization.

4953968640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4953968640000 in words is "four trillion, nine hundred fifty-three billion, nine hundred sixty-eight million, six hundred forty thousand".