5429348352000 has 1200 divisors, whose sum is σ = 21138194068992. Its totient is φ = 1383904051200.

The previous prime is 5429348351969. The next prime is 5429348352049. The reversal of 5429348352000 is 2538439245.

5429348352000 is a `hidden beast` number, since 5 + 4 + 293 + 4 + 8 + 352 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3815423289 + ... + 3815424711.

Almost surely, 2^{5429348352000} is an apocalyptic number.

5429348352000 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 5429348352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569097034496).

5429348352000 is an abundant number, since it is smaller than the sum of its proper divisors (15708845716992).

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

5429348352000 is an equidigital number, since it uses as much as digits as its factorization.

5429348352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5429348352000 in words is "five trillion, four hundred twenty-nine billion, three hundred forty-eight million, three hundred fifty-two thousand".