51340366350 has 1152 divisors, whose sum is σ = 194490408960. Its totient is φ = 9704448000.

The previous prime is 51340366349. The next prime is 51340366351. The reversal of 51340366350 is 5366304315.

51340366350 is a `hidden beast` number, since 5 + 13 + 4 + 0 + 3 + 6 + 635 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51340366349) and next prime (51340366351).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51340366351) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 841645320 + ... + 841645380.

It is an arithmetic number, because the mean of its divisors is an integer number (168828480).

Almost surely, 2^51340366350 is an apocalyptic number.

51340366350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51340366350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97245204480).

51340366350 is an abundant number, since it is smaller than the sum of its proper divisors (143150042610).

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

51340366350 is a wasteful number, since it uses less digits than its factorization.

51340366350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 51340366350 in words is "fifty-one billion, three hundred forty million, three hundred sixty-six thousand, three hundred fifty".