51462734400 has 1344 divisors, whose sum is σ = 238019051520. Its totient is φ = 10637568000.

The previous prime is 51462734377. The next prime is 51462734413. The reversal of 51462734400 is 443726415.

51462734400 is a `hidden beast` number, since 5 + 146 + 2 + 73 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 269438305 + ... + 269438495.

Almost surely, 2^51462734400 is an apocalyptic number.

51462734400 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 51462734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119009525760).

51462734400 is an abundant number, since it is smaller than the sum of its proper divisors (186556317120).

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

51462734400 is a wasteful number, since it uses less digits than its factorization.

51462734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 51462734400 in words is "fifty-one billion, four hundred sixty-two million, seven hundred thirty-four thousand, four hundred".