51149009736 has 576 divisors, whose sum is σ = 171761990400. Its totient is φ = 14101776000.

The previous prime is 51149009729. The next prime is 51149009759. The reversal of 51149009736 is 63790094115.

51149009736 is a `hidden beast` number, since 511 + 49 + 0 + 0 + 97 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51149009691 and 51149009700.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 390450391 + ... + 390450521.

It is an arithmetic number, because the mean of its divisors is an integer number (298197900).

Almost surely, 2^51149009736 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 51149009736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85880995200).

51149009736 is an abundant number, since it is smaller than the sum of its proper divisors (120612980664).

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

51149009736 is a wasteful number, since it uses less digits than its factorization.

51149009736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 51149009736 in words is "fifty-one billion, one hundred forty-nine million, nine thousand, seven hundred thirty-six".