51403052510400 has 672 divisors, whose sum is σ = 180397906920000. Its totient is φ = 12813697351680.

The previous prime is 51403052510371. The next prime is 51403052510413. The reversal of 51403052510400 is 401525030415.

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 95 ways as a sum of consecutive naturals, for example, 3513770286 + ... + 3513784914.

It is an arithmetic number, because the mean of its divisors is an integer number (268449266250).

Almost surely, 2^{51403052510400} is an apocalyptic number.

51403052510400 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 51403052510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90198953460000).

51403052510400 is an abundant number, since it is smaller than the sum of its proper divisors (128994854409600).

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

51403052510400 is a wasteful number, since it uses less digits than its factorization.

51403052510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14854 (or 14805 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 51403052510400 its reverse (401525030415), we get a palindrome (51804577540815).

The spelling of 51403052510400 in words is "fifty-one trillion, four hundred three billion, fifty-two million, five hundred ten thousand, four hundred".