50264064000000 has 1512 divisors, whose sum is σ = 190092201632424. Its totient is φ = 13271040000000.

The previous prime is 50264063999999. The next prime is 50264064000023. The reversal of 50264064000000 is 46046205.

It is a happy number.

It is a super-2 number, since 2×50264064000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 497663999950 + ... + 497664000050.

It is an arithmetic number, because the mean of its divisors is an integer number (125722355577).

Almost surely, 2^{50264064000000} is an apocalyptic number.

50264064000000 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 50264064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95046100816212).

50264064000000 is an abundant number, since it is smaller than the sum of its proper divisors (139828137632424).

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

50264064000000 is an frugal number, since it uses more digits than its factorization.

50264064000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 50264064000000 in words is "fifty trillion, two hundred sixty-four billion, sixty-four million", and thus it is an aban number.