51619736678400 has 1248 divisors, whose sum is σ = 208087812599040. Its totient is φ = 12440272896000.

The previous prime is 51619736678357. The next prime is 51619736678437. The reversal of 51619736678400 is 487663791615.

51619736678400 is a `hidden beast` number, since 5 + 1 + 6 + 197 + 36 + 6 + 7 + 8 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5261409495 + ... + 5261419305.

Almost surely, 2^{51619736678400} is an apocalyptic number.

51619736678400 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 51619736678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104043906299520).

51619736678400 is an abundant number, since it is smaller than the sum of its proper divisors (156468075920640).

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

51619736678400 is a wasteful number, since it uses less digits than its factorization.

51619736678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 51619736678400 in words is "fifty-one trillion, six hundred nineteen billion, seven hundred thirty-six million, six hundred seventy-eight thousand, four hundred".