51091603960320 has 1920 divisors, whose sum is σ = 229646161704960. Its totient is φ = 10576116449280.

The previous prime is 51091603960291. The next prime is 51091603960321. The reversal of 51091603960320 is 2306930619015.

51091603960320 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 1 + 6 + 0 + 39 + 603 + 2 + 0 = 666.

51091603960320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×51091603960320² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51091603960321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13555743396 + ... + 13555747164.

It is an arithmetic number, because the mean of its divisors is an integer number (119607375888).

Almost surely, 2^{51091603960320} 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 51091603960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114823080852480).

51091603960320 is an abundant number, since it is smaller than the sum of its proper divisors (178554557744640).

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

51091603960320 is a wasteful number, since it uses less digits than its factorization.

51091603960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 51091603960320 in words is "fifty-one trillion, ninety-one billion, six hundred three million, nine hundred sixty thousand, three hundred twenty".