50409802899456 has 3584 divisors, whose sum is σ = 202924818432000. Its totient is φ = 10924720128000.

The previous prime is 50409802899439. The next prime is 50409802899457. The reversal of 50409802899456 is 65499820890405.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×50409802899456² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50409802899457) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 709997223901 + ... + 709997223971.

It is an arithmetic number, because the mean of its divisors is an integer number (56619648000).

Almost surely, 2^{50409802899456} is an apocalyptic number.

50409802899456 is a gapful number since it is divisible by the number (56) 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 50409802899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101462409216000).

50409802899456 is an abundant number, since it is smaller than the sum of its proper divisors (152515015532544).

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

50409802899456 is a wasteful number, since it uses less digits than its factorization.

50409802899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 69.

The spelling of 50409802899456 in words is "fifty trillion, four hundred nine billion, eight hundred two million, eight hundred ninety-nine thousand, four hundred fifty-six".