5051631378528 has 576 divisors, whose sum is σ = 17954369072640. Its totient is φ = 1364887314432.

The previous prime is 5051631378527. The next prime is 5051631378569. The reversal of 5051631378528 is 8258731361505.

5051631378528 is a `hidden beast` number, since 5 + 0 + 5 + 16 + 31 + 3 + 78 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051631378527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613281226 + ... + 613289462.

It is an arithmetic number, because the mean of its divisors is an integer number (31170779640).

Almost surely, 2^{5051631378528} 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 5051631378528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977184536320).

5051631378528 is an abundant number, since it is smaller than the sum of its proper divisors (12902737694112).

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

5051631378528 is a wasteful number, since it uses less digits than its factorization.

5051631378528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5051631378528 in words is "five trillion, fifty-one billion, six hundred thirty-one million, three hundred seventy-eight thousand, five hundred twenty-eight".