50268072960000 has 3360 divisors, whose sum is σ = 222997498083360. Its totient is φ = 11147673600000.

The previous prime is 50268072959947. The next prime is 50268072960031. The reversal of 50268072960000 is 6927086205.

50268072960000 is a `hidden beast` number, since 502 + 6 + 80 + 7 + 2 + 9 + 60 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×50268072960000² (a number of 28 digits) contains 22 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 239 ways as a sum of consecutive naturals, for example, 277724159910 + ... + 277724160090.

It is an arithmetic number, because the mean of its divisors is an integer number (66368303001).

Almost surely, 2^{50268072960000} is an apocalyptic number.

50268072960000 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 50268072960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111498749041680).

50268072960000 is an abundant number, since it is smaller than the sum of its proper divisors (172729425123360).

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

50268072960000 is an equidigital number, since it uses as much as digits as its factorization.

50268072960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 50268072960000 in words is "fifty trillion, two hundred sixty-eight billion, seventy-two million, nine hundred sixty thousand".