5349307392000 has 3360 divisors, whose sum is σ = 24184235707632. Its totient is φ = 1167851520000.

The previous prime is 5349307391993. The next prime is 5349307392029. The reversal of 5349307392000 is 2937039435.

5349307392000 is a `hidden beast` number, since 5 + 3 + 493 + 0 + 73 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 459618914304 + 4889688477696 = 677952^2 + 2211264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 130470911980 + ... + 130470912020.

Almost surely, 2^{5349307392000} is an apocalyptic number.

5349307392000 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 5349307392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092117853816).

5349307392000 is an abundant number, since it is smaller than the sum of its proper divisors (18834928315632).

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

5349307392000 is a wasteful number, since it uses less digits than its factorization.

5349307392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 5349307392000 in words is "five trillion, three hundred forty-nine billion, three hundred seven million, three hundred ninety-two thousand".