51349417600 has 192 divisors, whose sum is σ = 139518570240. Its totient is φ = 18555678720.

The previous prime is 51349417577. The next prime is 51349417601. The reversal of 51349417600 is 671494315.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (51349417601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1942069 + ... + 1968331.

It is an arithmetic number, because the mean of its divisors is an integer number (726659220).

Almost surely, 2^51349417600 is an apocalyptic number.

51349417600 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 51349417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69759285120).

51349417600 is an abundant number, since it is smaller than the sum of its proper divisors (88169152640).

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

51349417600 is a wasteful number, since it uses less digits than its factorization.

51349417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26347 (or 26330 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 51349417600 in words is "fifty-one billion, three hundred forty-nine million, four hundred seventeen thousand, six hundred".