50501750400 has 960 divisors, whose sum is σ = 201302216280. Its totient is φ = 12421693440.

The previous prime is 50501750363. The next prime is 50501750407. The reversal of 50501750400 is 405710505.

50501750400 is a `hidden beast` number, since 50 + 501 + 75 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5173637184 + 45328113216 = 71928^2 + 212904^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (50501750407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 321667122 + ... + 321667278.

Almost surely, 2^50501750400 is an apocalyptic number.

50501750400 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 50501750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651108140).

50501750400 is an abundant number, since it is smaller than the sum of its proper divisors (150800465880).

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

50501750400 is a wasteful number, since it uses less digits than its factorization.

50501750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 50501750400 in words is "fifty billion, five hundred one million, seven hundred fifty thousand, four hundred".