51782525884800 has 2304 divisors, whose sum is σ = 215366501376000. Its totient is φ = 11759203123200.

The previous prime is 51782525884799. The next prime is 51782525884841. The reversal of 51782525884800 is 848852528715.

51782525884800 is a `hidden beast` number, since 5 + 1 + 7 + 8 + 2 + 5 + 2 + 588 + 48 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22781576464 + ... + 22781578736.

It is an arithmetic number, because the mean of its divisors is an integer number (93475044000).

Almost surely, 2^{51782525884800} is an apocalyptic number.

51782525884800 is a gapful number since it is divisible by the number (50) 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 51782525884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107683250688000).

51782525884800 is an abundant number, since it is smaller than the sum of its proper divisors (163583975491200).

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

51782525884800 is a wasteful number, since it uses less digits than its factorization.

51782525884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 57344000, while the sum is 63.

The spelling of 51782525884800 in words is "fifty-one trillion, seven hundred eighty-two billion, five hundred twenty-five million, eight hundred eighty-four thousand, eight hundred".