51122014400 has 168 divisors, whose sum is σ = 129174544800. Its totient is φ = 19901440000.

The previous prime is 51122014399. The next prime is 51122014487. The reversal of 51122014400 is 441022115.

It is a happy number.

It is a super-2 number, since 2×51122014400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39293750 + ... + 39295050.

It is an arithmetic number, because the mean of its divisors is an integer number (768896100).

Almost surely, 2^51122014400 is an apocalyptic number.

51122014400 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 51122014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64587272400).

51122014400 is an abundant number, since it is smaller than the sum of its proper divisors (78052530400).

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

51122014400 is a wasteful number, since it uses less digits than its factorization.

51122014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 51122014400 its reverse (441022115), we get a palindrome (51563036515).

The spelling of 51122014400 in words is "fifty-one billion, one hundred twenty-two million, fourteen thousand, four hundred".