51430190991360 has 384 divisors, whose sum is σ = 175388758272000. Its totient is φ = 12828411887616.

The previous prime is 51430190991269. The next prime is 51430190991367. The reversal of 51430190991360 is 6319909103415.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (51430190991367) by changing a digit.

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, 45553039 + ... + 46668401.

It is an arithmetic number, because the mean of its divisors is an integer number (456741558000).

Almost surely, 2^{51430190991360} 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 51430190991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87694379136000).

51430190991360 is an abundant number, since it is smaller than the sum of its proper divisors (123958567280640).

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

51430190991360 is a wasteful number, since it uses less digits than its factorization.

51430190991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115491 (or 1115471 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 51.

The spelling of 51430190991360 in words is "fifty-one trillion, four hundred thirty billion, one hundred ninety million, nine hundred ninety-one thousand, three hundred sixty".