51415781760 has 192 divisors, whose sum is σ = 202908869280. Its totient is φ = 11752169472.

The previous prime is 51415781723. The next prime is 51415781771. The reversal of 51415781760 is 6718751415.

51415781760 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 578 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51415781760² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597277 + ... + 677916.

Almost surely, 2^51415781760 is an apocalyptic number.

It is an amenable number.

51415781760 is an abundant number, since it is smaller than the sum of its proper divisors (151493087520).

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

51415781760 is a wasteful number, since it uses less digits than its factorization.

51415781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275225 (or 1275210 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 51415781760 in words is "fifty-one billion, four hundred fifteen million, seven hundred eighty-one thousand, seven hundred sixty".