51148148480 has 288 divisors, whose sum is σ = 144686158848. Its totient is φ = 17079091200.

The previous prime is 51148148479. The next prime is 51148148503. The reversal of 51148148480 is 8484184115.

It is a super-2 number, since 2×51148148480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41549465 + ... + 41550695.

It is an arithmetic number, because the mean of its divisors is an integer number (502382496).

Almost surely, 2^51148148480 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 51148148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72343079424).

51148148480 is an abundant number, since it is smaller than the sum of its proper divisors (93538010368).

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

51148148480 is a wasteful number, since it uses less digits than its factorization.

51148148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The spelling of 51148148480 in words is "fifty-one billion, one hundred forty-eight million, one hundred forty-eight thousand, four hundred eighty".