51671678400 has 252 divisors, whose sum is σ = 184344954144. Its totient is φ = 13727232000.

The previous prime is 51671678363. The next prime is 51671678423. The reversal of 51671678400 is 487617615.

51671678400 is a `hidden beast` number, since 5 + 167 + 16 + 78 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3895780 + ... + 3909020.

Almost surely, 2^51671678400 is an apocalyptic number.

51671678400 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 51671678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92172477072).

51671678400 is an abundant number, since it is smaller than the sum of its proper divisors (132673275744).

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

51671678400 is a wasteful number, since it uses less digits than its factorization.

51671678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13540 (or 13522 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 51671678400 in words is "fifty-one billion, six hundred seventy-one million, six hundred seventy-eight thousand, four hundred".