51079323686400 has 1200 divisors, whose sum is σ = 200550437919216. Its totient is φ = 12795476705280.

The previous prime is 51079323686387. The next prime is 51079323686407. The reversal of 51079323686400 is 468632397015.

51079323686400 is a `hidden beast` number, since 51 + 0 + 7 + 93 + 23 + 6 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51079323686407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10346224732 + ... + 10346229668.

It is a 1-persistent number, because it is pandigital, but 2⋅51079323686400 = 102158647372800 is not.

Almost surely, 2^{51079323686400} is an apocalyptic number.

51079323686400 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 51079323686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100275218959608).

51079323686400 is an abundant number, since it is smaller than the sum of its proper divisors (149471114232816).

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

51079323686400 is a wasteful number, since it uses less digits than its factorization.

51079323686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 51079323686400 in words is "fifty-one trillion, seventy-nine billion, three hundred twenty-three million, six hundred eighty-six thousand, four hundred".