51354128788704 has 576 divisors, whose sum is σ = 183522411072000. Its totient is φ = 13798865092608.

The previous prime is 51354128788693. The next prime is 51354128788709. The reversal of 51354128788704 is 40788782145315.

51354128788704 is a `hidden beast` number, since 5 + 1 + 3 + 541 + 2 + 8 + 7 + 8 + 87 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51354128788709) 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, 141505272 + ... + 141867720.

It is an arithmetic number, because the mean of its divisors is an integer number (318615297000).

Almost surely, 2^{51354128788704} is an apocalyptic number.

51354128788704 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 51354128788704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91761205536000).

51354128788704 is an abundant number, since it is smaller than the sum of its proper divisors (132168282283296).

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

51354128788704 is a wasteful number, since it uses less digits than its factorization.

51354128788704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362637 (or 362617 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 51354128788704 in words is "fifty-one trillion, three hundred fifty-four billion, one hundred twenty-eight million, seven hundred eighty-eight thousand, seven hundred four".