51783904972800 has 6318 divisors, whose sum is σ = 265211519565174. Its totient is φ = 9932577177600.

The previous prime is 51783904972741. The next prime is 51783904972837. The reversal of 51783904972800 is 827940938715.

51783904972800 is a `hidden beast` number, since 5 + 178 + 390 + 4 + 9 + 72 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 159335092224 + 51624569880576 = 399168^2 + 7185024^2 .

It is a tau number, because it is divible by the number of its divisors (6318).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 485 ways as a sum of consecutive naturals, for example, 3983377305594 + ... + 3983377305606.

Almost surely, 2^{51783904972800} is an apocalyptic number.

51783904972800 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 51783904972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132605759782587).

51783904972800 is an abundant number, since it is smaller than the sum of its proper divisors (213427614592374).

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

51783904972800 is an equidigital number, since it uses as much as digits as its factorization.

51783904972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 51783904972800 in words is "fifty-one trillion, seven hundred eighty-three billion, nine hundred four million, nine hundred seventy-two thousand, eight hundred".