51834182400 has 2592 divisors, whose sum is σ = 265702993920. Its totient is φ = 9289728000.

The previous prime is 51834182341. The next prime is 51834182419. The reversal of 51834182400 is 428143815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1672070385 + ... + 1672070415.

Almost surely, 2^51834182400 is an apocalyptic number.

51834182400 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 51834182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132851496960).

51834182400 is an abundant number, since it is smaller than the sum of its proper divisors (213868811520).

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

51834182400 is a wasteful number, since it uses less digits than its factorization.

51834182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51834182400 in words is "fifty-one billion, eight hundred thirty-four million, one hundred eighty-two thousand, four hundred".