51211150400 has 168 divisors, whose sum is σ = 128736120480. Its totient is φ = 20044800000.

The previous prime is 51211150399. The next prime is 51211150423. The reversal of 51211150400 is 405111215.

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, 22749275 + ... + 22751525.

Almost surely, 2^51211150400 is an apocalyptic number.

51211150400 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 51211150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64368060240).

51211150400 is an abundant number, since it is smaller than the sum of its proper divisors (77524970080).

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

51211150400 is a wasteful number, since it uses less digits than its factorization.

51211150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 51211150400 its reverse (405111215), we get a palindrome (51616261615).

The spelling of 51211150400 in words is "fifty-one billion, two hundred eleven million, one hundred fifty thousand, four hundred".