51416065226100 has 144 divisors (see below), whose sum is σ = 149004109376640. Its totient is φ = 13688811840000.

The previous prime is 51416065226083. The next prime is 51416065226111. The reversal of 51416065226100 is 162256061415.

It is a super-2 number, since 2×51416065226100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170040729 + ... + 1170084671.

It is an arithmetic number, because the mean of its divisors is an integer number (1034750759560).

Almost surely, 2^{51416065226100} is an apocalyptic number.

51416065226100 is a gapful number since it is divisible by the number (50) 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 51416065226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74502054688320).

51416065226100 is an abundant number, since it is smaller than the sum of its proper divisors (97588044150540).

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

51416065226100 is a wasteful number, since it uses less digits than its factorization.

51416065226100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50170 (or 50163 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 51416065226100 in words is "fifty-one trillion, four hundred sixteen billion, sixty-five million, two hundred twenty-six thousand, one hundred".