51352454400 has 432 divisors, whose sum is σ = 183501130176. Its totient is φ = 12572098560.

The previous prime is 51352454399. The next prime is 51352454423. The reversal of 51352454400 is 445425315.

It is a congruent number.

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, 58156359 + ... + 58157241.

Almost surely, 2^51352454400 is an apocalyptic number.

51352454400 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 51352454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91750565088).

51352454400 is an abundant number, since it is smaller than the sum of its proper divisors (132148675776).

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

51352454400 is a wasteful number, since it uses less digits than its factorization.

51352454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 51352454400 its reverse (445425315), we get a palindrome (51797879715).

The spelling of 51352454400 in words is "fifty-one billion, three hundred fifty-two million, four hundred fifty-four thousand, four hundred".