51091018268160 has 640 divisors, whose sum is σ = 177915028959360. Its totient is φ = 12432395206656.

The previous prime is 51091018268131. The next prime is 51091018268189. The reversal of 51091018268160 is 6186281019015.

It is an interprime number because it is at equal distance from previous prime (51091018268131) and next prime (51091018268189).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×51091018268160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4973324784 + ... + 4973335056.

It is an arithmetic number, because the mean of its divisors is an integer number (277992232749).

Almost surely, 2^{51091018268160} 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 51091018268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957514479680).

51091018268160 is an abundant number, since it is smaller than the sum of its proper divisors (126824010691200).

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

51091018268160 is a wasteful number, since it uses less digits than its factorization.

51091018268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The spelling of 51091018268160 in words is "fifty-one trillion, ninety-one billion, eighteen million, two hundred sixty-eight thousand, one hundred sixty".