51465461682780 has 288 divisors, whose sum is σ = 165550694400000. Its totient is φ = 12905130843648.

The previous prime is 51465461682763. The next prime is 51465461682793. The reversal of 51465461682780 is 8728616456415.

51465461682780 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 5 + 4 + 616 + 8 + 2 + 7 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2433459646 + ... + 2433480794.

It is an arithmetic number, because the mean of its divisors is an integer number (574828800000).

Almost surely, 2^{51465461682780} 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 51465461682780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82775347200000).

51465461682780 is an abundant number, since it is smaller than the sum of its proper divisors (114085232717220).

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

51465461682780 is a wasteful number, since it uses less digits than its factorization.

51465461682780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26441 (or 26436 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 51465461682780 in words is "fifty-one trillion, four hundred sixty-five billion, four hundred sixty-one million, six hundred eighty-two thousand, seven hundred eighty".