4952820096000 has 2112 divisors, whose sum is σ = 21137836861440. Its totient is φ = 1091941171200.

The previous prime is 4952820095893. The next prime is 4952820096053. The reversal of 4952820096000 is 6900282594.

4952820096000 is a `hidden beast` number, since 49 + 528 + 20 + 0 + 9 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 48085631949 + ... + 48085632051.

Almost surely, 2^{4952820096000} is an apocalyptic number.

4952820096000 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 4952820096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10568918430720).

4952820096000 is an abundant number, since it is smaller than the sum of its proper divisors (16185016765440).

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

4952820096000 is a wasteful number, since it uses less digits than its factorization.

4952820096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4952820096000 in words is "four trillion, nine hundred fifty-two billion, eight hundred twenty million, ninety-six thousand".