51654884512 has 576 divisors, whose sum is σ = 142704156672. Its totient is φ = 17953689600.

The previous prime is 51654884459. The next prime is 51654884513. The reversal of 51654884512 is 21548845615.

51654884512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51654884513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099040073 + ... + 1099040119.

It is an arithmetic number, because the mean of its divisors is an integer number (247750272).

Almost surely, 2^51654884512 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 51654884512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71352078336).

51654884512 is an abundant number, since it is smaller than the sum of its proper divisors (91049272160).

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

51654884512 is a wasteful number, since it uses less digits than its factorization.

51654884512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 49.

The spelling of 51654884512 in words is "fifty-one billion, six hundred fifty-four million, eight hundred eighty-four thousand, five hundred twelve".