51452076744000 has 560 divisors, whose sum is σ = 190499260311360. Its totient is φ = 13709438438400.

The previous prime is 51452076743981. The next prime is 51452076744001. The reversal of 51452076744000 is 44767025415.

51452076744000 is a `hidden beast` number, since 5 + 14 + 520 + 7 + 6 + 74 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51452076744001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 815800467 + ... + 815863533.

It is an arithmetic number, because the mean of its divisors is an integer number (340177250556).

Almost surely, 2^{51452076744000} is an apocalyptic number.

51452076744000 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 51452076744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95249630155680).

51452076744000 is an abundant number, since it is smaller than the sum of its proper divisors (139047183567360).

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

51452076744000 is a wasteful number, since it uses less digits than its factorization.

51452076744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64365 (or 64336 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 51452076744000 in words is "fifty-one trillion, four hundred fifty-two billion, seventy-six million, seven hundred forty-four thousand".