51247782432 has 864 divisors, whose sum is σ = 196758761472. Its totient is φ = 12830400000.

The previous prime is 51247782431. The next prime is 51247782449. The reversal of 51247782432 is 23428774215.

51247782432 is a `hidden beast` number, since 51 + 24 + 77 + 82 + 432 = 666.

51247782432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

Its product of digits (752640) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51247782431) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204174307 + ... + 204174557.

It is an arithmetic number, because the mean of its divisors is an integer number (227730048).

Almost surely, 2^51247782432 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 51247782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98379380736).

51247782432 is an abundant number, since it is smaller than the sum of its proper divisors (145510979040).

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

51247782432 is a wasteful number, since it uses less digits than its factorization.

51247782432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 51247782432 in words is "fifty-one billion, two hundred forty-seven million, seven hundred eighty-two thousand, four hundred thirty-two".