50346956160000 has 2310 divisors, whose sum is σ = 197999887529312. Its totient is φ = 12772546560000.

The previous prime is 50346956159957. The next prime is 50346956160013. The reversal of 50346956160000 is 6165964305.

50346956160000 is a `hidden beast` number, since 5 + 0 + 34 + 6 + 9 + 5 + 6 + 1 + 600 + 0 + 0 = 666.

It is a super-3 number, since 3×50346956160000³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 853338239971 + ... + 853338240029.

Almost surely, 2^{50346956160000} is an apocalyptic number.

50346956160000 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 50346956160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98999943764656).

50346956160000 is an abundant number, since it is smaller than the sum of its proper divisors (147652931369312).

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

50346956160000 is an frugal number, since it uses more digits than its factorization.

50346956160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 50346956160000 in words is "fifty trillion, three hundred forty-six billion, nine hundred fifty-six million, one hundred sixty thousand".