51358620480 has 448 divisors, whose sum is σ = 172053504000. Its totient is φ = 12968017920.

The previous prime is 51358620461. The next prime is 51358620499. The reversal of 51358620480 is 8402685315.

It is an interprime number because it is at equal distance from previous prime (51358620461) and next prime (51358620499).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258083421 + ... + 258083619.

It is an arithmetic number, because the mean of its divisors is an integer number (384048000).

Almost surely, 2^51358620480 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 51358620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752000).

51358620480 is an abundant number, since it is smaller than the sum of its proper divisors (120694883520).

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

51358620480 is a wasteful number, since it uses less digits than its factorization.

51358620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 51358620480 in words is "fifty-one billion, three hundred fifty-eight million, six hundred twenty thousand, four hundred eighty".