51224134800 has 240 divisors, whose sum is σ = 174279148992. Its totient is φ = 12816384000.

The previous prime is 51224134789. The next prime is 51224134813. The reversal of 51224134800 is 843142215.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6871075 + ... + 6878525.

Almost surely, 2^51224134800 is an apocalyptic number.

51224134800 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 51224134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87139574496).

51224134800 is an abundant number, since it is smaller than the sum of its proper divisors (123055014192).

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

51224134800 is a wasteful number, since it uses less digits than its factorization.

51224134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 51224134800 in words is "fifty-one billion, two hundred twenty-four million, one hundred thirty-four thousand, eight hundred".