51267123291120 has 640 divisors, whose sum is σ = 177604846276608. Its totient is φ = 12127972147200.

The previous prime is 51267123291103. The next prime is 51267123291133. The reversal of 51267123291120 is 2119232176215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41444723142 + ... + 41444724378.

Almost surely, 2^{51267123291120} 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 51267123291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88802423138304).

51267123291120 is an abundant number, since it is smaller than the sum of its proper divisors (126337722985488).

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

51267123291120 is a wasteful number, since it uses less digits than its factorization.

51267123291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 51267123291120 in words is "fifty-one trillion, two hundred sixty-seven billion, one hundred twenty-three million, two hundred ninety-one thousand, one hundred twenty".