51481061001216 has 3456 divisors, whose sum is σ = 208283203215360. Its totient is φ = 12541132800000.

The previous prime is 51481061001211. The next prime is 51481061001217. The reversal of 51481061001216 is 61210016018415.

51481061001216 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 10 + 610 + 0 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51481061001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340934178741 + ... + 340934178891.

It is an arithmetic number, because the mean of its divisors is an integer number (60267130560).

Almost surely, 2^{51481061001216} is an apocalyptic number.

51481061001216 is a gapful number since it is divisible by the number (56) 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 51481061001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104141601607680).

51481061001216 is an abundant number, since it is smaller than the sum of its proper divisors (156802142214144).

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

51481061001216 is a wasteful number, since it uses less digits than its factorization.

51481061001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 51481061001216 in words is "fifty-one trillion, four hundred eighty-one billion, sixty-one million, one thousand, two hundred sixteen".