50778945672000 has 1792 divisors, whose sum is σ = 217942194462720. Its totient is φ = 10116513792000.

The previous prime is 50778945671963. The next prime is 50778945672061. The reversal of 50778945672000 is 27654987705.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13735174152 + ... + 13735177848.

It is an arithmetic number, because the mean of its divisors is an integer number (121619528160).

Almost surely, 2^{50778945672000} is an apocalyptic number.

50778945672000 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 50778945672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108971097231360).

50778945672000 is an abundant number, since it is smaller than the sum of its proper divisors (167163248790720).

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

50778945672000 is a wasteful number, since it uses less digits than its factorization.

50778945672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 50778945672000 in words is "fifty trillion, seven hundred seventy-eight billion, nine hundred forty-five million, six hundred seventy-two thousand".