5450386636800 has 1368 divisors, whose sum is σ = 22906963054976. Its totient is φ = 1212866887680.

The previous prime is 5450386636733. The next prime is 5450386636813. The reversal of 5450386636800 is 86366830545.

It is a happy number.

5450386636800 is a `hidden beast` number, since 5 + 450 + 3 + 86 + 6 + 36 + 80 + 0 = 666.

It is a super-2 number, since 2×5450386636800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17753702247 + ... + 17753702553.

Almost surely, 2^{5450386636800} is an apocalyptic number.

5450386636800 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 5450386636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453481527488).

5450386636800 is an abundant number, since it is smaller than the sum of its proper divisors (17456576418176).

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

5450386636800 is an equidigital number, since it uses as much as digits as its factorization.

5450386636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 5450386636800 in words is "five trillion, four hundred fifty billion, three hundred eighty-six million, six hundred thirty-six thousand, eight hundred".