51038000748 has 192 divisors, whose sum is σ = 154584192000. Its totient is φ = 14556386880.

The previous prime is 51038000737. The next prime is 51038000759. The reversal of 51038000748 is 84700083015.

It is an interprime number because it is at equal distance from previous prime (51038000737) and next prime (51038000759).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 32486803 + ... + 32488373.

It is an arithmetic number, because the mean of its divisors is an integer number (805126000).

Almost surely, 2^51038000748 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 51038000748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77292096000).

51038000748 is an abundant number, since it is smaller than the sum of its proper divisors (103546191252).

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

51038000748 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (51038000747) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2482).

51038000748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51038000748 in words is "fifty-one billion, thirty-eight million, seven hundred forty-eight", and thus it is an aban number.