51408302400 has 1008 divisors, whose sum is σ = 233372257664. Its totient is φ = 10839121920.

The previous prime is 51408302333. The next prime is 51408302411. The reversal of 51408302400 is 420380415.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380074 + ... + 35381526.

Almost surely, 2^51408302400 is an apocalyptic number.

51408302400 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 51408302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116686128832).

51408302400 is an abundant number, since it is smaller than the sum of its proper divisors (181963955264).

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

51408302400 is a wasteful number, since it uses less digits than its factorization.

51408302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 51408302400 its reverse (420380415), we get a palindrome (51828682815).

The spelling of 51408302400 in words is "fifty-one billion, four hundred eight million, three hundred two thousand, four hundred".