51349480793856 has 216 divisors, whose sum is σ = 176560353715200. Its totient is φ = 14033398376448.

The previous prime is 51349480793851. The next prime is 51349480793857. The reversal of 51349480793856 is 65839708494315.

51349480793856 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 9 + 480 + 7 + 93 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51349480793851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68843656 + ... + 69585543.

Almost surely, 2^{51349480793856} is an apocalyptic number.

51349480793856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51349480793856 is an abundant number, since it is smaller than the sum of its proper divisors (125210872921344).

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

51349480793856 is a wasteful number, since it uses less digits than its factorization.

51349480793856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138429251 (or 138429234 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 51349480793856 in words is "fifty-one trillion, three hundred forty-nine billion, four hundred eighty million, seven hundred ninety-three thousand, eight hundred fifty-six".