51329147240448 has 960 divisors, whose sum is σ = 194610921991200. Its totient is φ = 13331874447360.

The previous prime is 51329147240429. The next prime is 51329147240557. The reversal of 51329147240448 is 84404274192315.

It is a happy number.

51329147240448 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 91 + 4 + 72 + 40 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51329147240394 and 51329147240403.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1430600173 + ... + 1430636051.

Almost surely, 2^{51329147240448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51329147240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97305460995600).

51329147240448 is an abundant number, since it is smaller than the sum of its proper divisors (143281774750752).

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

51329147240448 is an equidigital number, since it uses as much as digits as its factorization.

51329147240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35946 (or 35902 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 51329147240448 in words is "fifty-one trillion, three hundred twenty-nine billion, one hundred forty-seven million, two hundred forty thousand, four hundred forty-eight".