50067940204800 has 1296 divisors, whose sum is σ = 205834415754240. Its totient is φ = 11373997916160.

The previous prime is 50067940204771. The next prime is 50067940204801. The reversal of 50067940204800 is 840204976005.

It is a happy number.

50067940204800 is a `hidden beast` number, since 5 + 0 + 0 + 67 + 94 + 0 + 20 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50067940204801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76673721274 + ... + 76673721926.

Almost surely, 2^{50067940204800} is an apocalyptic number.

50067940204800 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 50067940204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102917207877120).

50067940204800 is an abundant number, since it is smaller than the sum of its proper divisors (155766475549440).

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

50067940204800 is a wasteful number, since it uses less digits than its factorization.

50067940204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 50067940204800 in words is "fifty trillion, sixty-seven billion, nine hundred forty million, two hundred four thousand, eight hundred".