51515142400 has 108 divisors (see below), whose sum is σ = 133052234112. Its totient is φ = 19710085120.

The previous prime is 51515142379. The next prime is 51515142421. The reversal of 51515142400 is 424151515.

It is an interprime number because it is at equal distance from previous prime (51515142379) and next prime (51515142421).

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 11 ways as a sum of consecutive naturals, for example, 27784 + ... + 322183.

Almost surely, 2^51515142400 is an apocalyptic number.

51515142400 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 51515142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66526117056).

51515142400 is an abundant number, since it is smaller than the sum of its proper divisors (81537091712).

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

51515142400 is a wasteful number, since it uses less digits than its factorization.

51515142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350016 (or 349997 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 51515142400 its reverse (424151515), we get a palindrome (51939293915).

The spelling of 51515142400 in words is "fifty-one billion, five hundred fifteen million, one hundred forty-two thousand, four hundred".