51452846307072 has 1152 divisors, whose sum is σ = 181821095608320. Its totient is φ = 14043739668480.

The previous prime is 51452846307007. The next prime is 51452846307073. The reversal of 51452846307072 is 27070364825415.

51452846307072 is a `hidden beast` number, since 5 + 1 + 4 + 528 + 46 + 3 + 0 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (51452846307073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83936127438 + ... + 83936128050.

It is an arithmetic number, because the mean of its divisors is an integer number (157830812160).

Almost surely, 2^{51452846307072} 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 51452846307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90910547804160).

51452846307072 is an abundant number, since it is smaller than the sum of its proper divisors (130368249301248).

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

51452846307072 is a wasteful number, since it uses less digits than its factorization.

51452846307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 51452846307072 in words is "fifty-one trillion, four hundred fifty-two billion, eight hundred forty-six million, three hundred seven thousand, seventy-two".