51140432144000 has 256 divisors, whose sum is σ = 129759080855040. Its totient is φ = 20039450112000.

The previous prime is 51140432143993. The next prime is 51140432144023. The reversal of 51140432144000 is 44123404115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193900217 + ... + 194163783.

It is an arithmetic number, because the mean of its divisors is an integer number (506871409590).

Almost surely, 2^{51140432144000} is an apocalyptic number.

51140432144000 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 51140432144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64879540427520).

51140432144000 is an abundant number, since it is smaller than the sum of its proper divisors (78618648711040).

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

51140432144000 is a wasteful number, since it uses less digits than its factorization.

51140432144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263844 (or 263822 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 51140432144000 its reverse (44123404115), we get a palindrome (51184555548115).

The spelling of 51140432144000 in words is "fifty-one trillion, one hundred forty billion, four hundred thirty-two million, one hundred forty-four thousand".