51993114432 has 224 divisors, whose sum is σ = 169866259200. Its totient is φ = 13981040640.

The previous prime is 51993114401. The next prime is 51993114497. The reversal of 51993114432 is 23441139915.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1096332 + ... + 1142772.

Almost surely, 2^51993114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51993114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84933129600).

51993114432 is an abundant number, since it is smaller than the sum of its proper divisors (117873144768).

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

51993114432 is a wasteful number, since it uses less digits than its factorization.

51993114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46494 (or 46470 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The spelling of 51993114432 in words is "fifty-one billion, nine hundred ninety-three million, one hundred fourteen thousand, four hundred thirty-two".