50546345371200 has 3360 divisors, whose sum is σ = 231231109190400. Its totient is φ = 10788161126400.

The previous prime is 50546345371199. The next prime is 50546345371267. The reversal of 50546345371200 is 217354364505.

50546345371200 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 634 + 5 + 3 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 159452193442 + ... + 159452193758.

Almost surely, 2^{50546345371200} is an apocalyptic number.

50546345371200 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 50546345371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115615554595200).

50546345371200 is an abundant number, since it is smaller than the sum of its proper divisors (180684763819200).

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

50546345371200 is a wasteful number, since it uses less digits than its factorization.

50546345371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 50546345371200 in words is "fifty trillion, five hundred forty-six billion, three hundred forty-five million, three hundred seventy-one thousand, two hundred".