51034028446800 has 720 divisors, whose sum is σ = 213627285688960. Its totient is φ = 11021311733760.

The previous prime is 51034028446771. The next prime is 51034028446801. The reversal of 51034028446800 is 864482043015.

51034028446800 is a `hidden beast` number, since 5 + 103 + 4 + 0 + 2 + 84 + 468 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (51034028446801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178449522 + ... + 178735278.

Almost surely, 2^{51034028446800} is an apocalyptic number.

51034028446800 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 51034028446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106813642844480).

51034028446800 is an abundant number, since it is smaller than the sum of its proper divisors (162593257242160).

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

51034028446800 is a wasteful number, since it uses less digits than its factorization.

51034028446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286180 (or 286166 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 51034028446800 in words is "fifty-one trillion, thirty-four billion, twenty-eight million, four hundred forty-six thousand, eight hundred".