51411222000 has 240 divisors, whose sum is σ = 181346518080. Its totient is φ = 13573440000.

The previous prime is 51411221947. The next prime is 51411222007. The reversal of 51411222000 is 22211415.

51411222000 is a `hidden beast` number, since 51 + 411 + 2 + 2 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51411222000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51411222007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1803861 + ... + 1832139.

It is an arithmetic number, because the mean of its divisors is an integer number (755610492).

Almost surely, 2^51411222000 is an apocalyptic number.

51411222000 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 51411222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90673259040).

51411222000 is an abundant number, since it is smaller than the sum of its proper divisors (129935296080).

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

51411222000 is a wasteful number, since it uses less digits than its factorization.

51411222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28409 (or 28390 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 51411222000 its reverse (22211415), we get a palindrome (51433433415).

The spelling of 51411222000 in words is "fifty-one billion, four hundred eleven million, two hundred twenty-two thousand".