50957120761600 has 216 divisors, whose sum is σ = 126415681378560. Its totient is φ = 20336211394560.

The previous prime is 50957120761537. The next prime is 50957120761669. The reversal of 50957120761600 is 616702175905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10631568804 + ... + 10631573596.

It is an arithmetic number, because the mean of its divisors is an integer number (585257784160).

Almost surely, 2^{50957120761600} is an apocalyptic number.

50957120761600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50957120761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63207840689280).

50957120761600 is an abundant number, since it is smaller than the sum of its proper divisors (75458560616960).

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

50957120761600 is a wasteful number, since it uses less digits than its factorization.

50957120761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 49.

The spelling of 50957120761600 in words is "fifty trillion, nine hundred fifty-seven billion, one hundred twenty million, seven hundred sixty-one thousand, six hundred".