51067947744 has 192 divisors, whose sum is σ = 164717038080. Its totient is φ = 15262940160.

The previous prime is 51067947703. The next prime is 51067947767. The reversal of 51067947744 is 44774976015.

It is a happy number.

51067947744 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 (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656989 + ... + 730595.

It is an arithmetic number, because the mean of its divisors is an integer number (857901240).

Almost surely, 2^51067947744 is an apocalyptic number.

51067947744 is a gapful number since it is divisible by the number (54) 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 51067947744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82358519040).

51067947744 is an abundant number, since it is smaller than the sum of its proper divisors (113649090336).

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

51067947744 is a wasteful number, since it uses less digits than its factorization.

51067947744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73710 (or 73696 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 51067947744 in words is "fifty-one billion, sixty-seven million, nine hundred forty-seven thousand, seven hundred forty-four".