4752691200000 has 1152 divisors, whose sum is σ = 17889909972480. Its totient is φ = 1260748800000.

The previous prime is 4752691199999. The next prime is 4752691200097. The reversal of 4752691200000 is 21962574.

4752691200000 is a `hidden beast` number, since 4 + 7 + 526 + 9 + 120 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24883199905 + ... + 24883200095.

It is an arithmetic number, because the mean of its divisors is an integer number (15529435740).

Almost surely, 2^{4752691200000} is an apocalyptic number.

4752691200000 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 4752691200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944954986240).

4752691200000 is an abundant number, since it is smaller than the sum of its proper divisors (13137218772480).

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

4752691200000 is an frugal number, since it uses more digits than its factorization.

4752691200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4752691200000 in words is "four trillion, seven hundred fifty-two billion, six hundred ninety-one million, two hundred thousand".