51332633906400 has 1152 divisors, whose sum is σ = 236187633024000. Its totient is φ = 10666504396800.

The previous prime is 51332633906377. The next prime is 51332633906401. The reversal of 51332633906400 is 460933623315.

51332633906400 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 2 + 633 + 9 + 0 + 6 + 4 + 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 not an unprimeable number, because it can be changed into a prime (51332633906401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81181864 + ... + 81811736.

It is an arithmetic number, because the mean of its divisors is an integer number (205023987000).

Almost surely, 2^{51332633906400} is an apocalyptic number.

51332633906400 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 51332633906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118093816512000).

51332633906400 is an abundant number, since it is smaller than the sum of its proper divisors (184854999117600).

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

51332633906400 is a wasteful number, since it uses less digits than its factorization.

51332633906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629934 (or 629901 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 51332633906400 in words is "fifty-one trillion, three hundred thirty-two billion, six hundred thirty-three million, nine hundred six thousand, four hundred".