51267243686400 has 1200 divisors, whose sum is σ = 223846246018560. Its totient is φ = 11340170035200.

The previous prime is 51267243686387. The next prime is 51267243686489. The reversal of 51267243686400 is 468634276215.

51267243686400 is a `hidden beast` number, since 5 + 1 + 26 + 72 + 436 + 86 + 40 + 0 = 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 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 119 ways as a sum of consecutive naturals, for example, 224871666 + ... + 225099534.

Almost surely, 2^{51267243686400} is an apocalyptic number.

51267243686400 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 51267243686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111923123009280).

51267243686400 is an abundant number, since it is smaller than the sum of its proper divisors (172579002332160).

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

51267243686400 is a wasteful number, since it uses less digits than its factorization.

51267243686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227947 (or 227917 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 51267243686400 in words is "fifty-one trillion, two hundred sixty-seven billion, two hundred forty-three million, six hundred eighty-six thousand, four hundred".