51458134029400 has 432 divisors, whose sum is σ = 144694101339720. Its totient is φ = 16968413952000.

The previous prime is 51458134029377. The next prime is 51458134029409. The reversal of 51458134029400 is 492043185415.

51458134029400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51458134029409) 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 107 ways as a sum of consecutive naturals, for example, 1535084640 + ... + 1535118160.

Almost surely, 2^{51458134029400} is an apocalyptic number.

51458134029400 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 51458134029400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72347050669860).

51458134029400 is an abundant number, since it is smaller than the sum of its proper divisors (93235967310320).

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

51458134029400 is a wasteful number, since it uses less digits than its factorization.

51458134029400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33776 (or 33729 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 51458134029400 in words is "fifty-one trillion, four hundred fifty-eight billion, one hundred thirty-four million, twenty-nine thousand, four hundred".