51435012400 has 30 divisors (see below), whose sum is σ = 123572618252. Its totient is φ = 20574004800.

The previous prime is 51435012383. The next prime is 51435012437. The reversal of 51435012400 is 421053415.

It is a happy number.

It is a super-4 number, since 4×51435012400⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64293366 + ... + 64294165.

Almost surely, 2^51435012400 is an apocalyptic number.

51435012400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51435012400 is an abundant number, since it is smaller than the sum of its proper divisors (72137605852).

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

51435012400 is a wasteful number, since it uses less digits than its factorization.

51435012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128587549 (or 128587538 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 51435012400 its reverse (421053415), we get a palindrome (51856065815).

The spelling of 51435012400 in words is "fifty-one billion, four hundred thirty-five million, twelve thousand, four hundred".