51903742464 has 480 divisors, whose sum is σ = 180633188736. Its totient is φ = 14571601920.

The previous prime is 51903742459. The next prime is 51903742469. The reversal of 51903742464 is 46424730915.

51903742464 is a `hidden beast` number, since 5 + 190 + 37 + 424 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (51903742459) and next prime (51903742469).

It is not an unprimeable number, because it can be changed into a prime (51903742469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53125144 + ... + 53126120.

Almost surely, 2^51903742464 is an apocalyptic number.

51903742464 is a gapful number since it is divisible by the number (54) 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 51903742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316594368).

51903742464 is an abundant number, since it is smaller than the sum of its proper divisors (128729446272).

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

51903742464 is an frugal number, since it uses more digits than its factorization.

51903742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 51903742464 in words is "fifty-one billion, nine hundred three million, seven hundred forty-two thousand, four hundred sixty-four".