51415213310400 has 168 divisors, whose sum is σ = 169659804742704. Its totient is φ = 13631470592000.

The previous prime is 51415213310399. The next prime is 51415213310431. The reversal of 51415213310400 is 401331251415.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30127701 + ... + 31788500.

Almost surely, 2^{51415213310400} is an apocalyptic number.

51415213310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51415213310400 is an abundant number, since it is smaller than the sum of its proper divisors (118244591432304).

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

51415213310400 is a wasteful number, since it uses less digits than its factorization.

51415213310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61916399 (or 61916384 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 51415213310400 its reverse (401331251415), we get a palindrome (51816544561815).

The spelling of 51415213310400 in words is "fifty-one trillion, four hundred fifteen billion, two hundred thirteen million, three hundred ten thousand, four hundred".