50961286149120 has 1408 divisors, whose sum is σ = 197037080064000. Its totient is φ = 12451827548160.

The previous prime is 50961286149089. The next prime is 50961286149167. The reversal of 50961286149120 is 2194168216905.

50961286149120 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 1 + 2 + 8 + 614 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12078994371 + ... + 12078998589.

It is an arithmetic number, because the mean of its divisors is an integer number (139941108000).

Almost surely, 2^{50961286149120} 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 50961286149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98518540032000).

50961286149120 is an abundant number, since it is smaller than the sum of its proper divisors (146075793914880).

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

50961286149120 is a wasteful number, since it uses less digits than its factorization.

50961286149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 50961286149120 in words is "fifty trillion, nine hundred sixty-one billion, two hundred eighty-six million, one hundred forty-nine thousand, one hundred twenty".