51947571110400 has 1440 divisors, whose sum is σ = 223950800481408. Its totient is φ = 11678780620800.

The previous prime is 51947571110353. The next prime is 51947571110401. The reversal of 51947571110400 is 401117574915.

51947571110400 is a `hidden beast` number, since 5 + 1 + 9 + 475 + 71 + 1 + 104 + 0 + 0 = 666.

51947571110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (51947571110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1328121244 + ... + 1328160356.

Almost surely, 2^{51947571110400} is an apocalyptic number.

51947571110400 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 51947571110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111975400240704).

51947571110400 is an abundant number, since it is smaller than the sum of its proper divisors (172003229371008).

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

51947571110400 is an equidigital number, since it uses as much as digits as its factorization.

51947571110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39224 (or 39191 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 51947571110400 in words is "fifty-one trillion, nine hundred forty-seven billion, five hundred seventy-one million, one hundred ten thousand, four hundred".