51738745100 has 144 divisors (see below), whose sum is σ = 129788568000. Its totient is φ = 17536081920.

The previous prime is 51738745073. The next prime is 51738745117. The reversal of 51738745100 is 154783715.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 24300836 + ... + 24302964.

It is an arithmetic number, because the mean of its divisors is an integer number (901309500).

Almost surely, 2^51738745100 is an apocalyptic number.

51738745100 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 51738745100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64894284000).

51738745100 is an abundant number, since it is smaller than the sum of its proper divisors (78049822900).

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

51738745100 is a wasteful number, since it uses less digits than its factorization.

51738745100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 51738745100 in words is "fifty-one billion, seven hundred thirty-eight million, seven hundred forty-five thousand, one hundred".