5429905525800 has 1152 divisors, whose sum is σ = 22724750880000. Its totient is φ = 1133439713280.

The previous prime is 5429905525771. The next prime is 5429905525829. The reversal of 5429905525800 is 85255099245.

5429905525800 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 9 + 0 + 5 + 52 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5429905525771) and next prime (5429905525829).

It is a super-2 number, since 2×5429905525800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3954773914 + ... + 3954775286.

It is an arithmetic number, because the mean of its divisors is an integer number (19726346250).

Almost surely, 2^{5429905525800} is an apocalyptic number.

5429905525800 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 5429905525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362375440000).

5429905525800 is an abundant number, since it is smaller than the sum of its proper divisors (17294845354200).

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

5429905525800 is a wasteful number, since it uses less digits than its factorization.

5429905525800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 5429905525800 in words is "five trillion, four hundred twenty-nine billion, nine hundred five million, five hundred twenty-five thousand, eight hundred".