50202622463400 has 576 divisors, whose sum is σ = 192614194581120. Its totient is φ = 11599132723200.

The previous prime is 50202622463303. The next prime is 50202622463429. The reversal of 50202622463400 is 436422620205.

50202622463400 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 2 + 6 + 2 + 246 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 125946814 + ... + 126344786.

It is an arithmetic number, because the mean of its divisors is an integer number (334399643370).

Almost surely, 2^{50202622463400} is an apocalyptic number.

50202622463400 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 50202622463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96307097290560).

50202622463400 is an abundant number, since it is smaller than the sum of its proper divisors (142411572117720).

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

50202622463400 is a wasteful number, since it uses less digits than its factorization.

50202622463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398306 (or 398294 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 50202622463400 in words is "fifty trillion, two hundred two billion, six hundred twenty-two million, four hundred sixty-three thousand, four hundred".