5345198208000 has 2816 divisors, whose sum is σ = 24566389585920. Its totient is φ = 1118306304000.

The previous prime is 5345198207969. The next prime is 5345198208011. The reversal of 5345198208000 is 8028915435.

5345198208000 is a `hidden beast` number, since 5 + 34 + 519 + 8 + 20 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×5345198208000² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16861823842 + ... + 16861824158.

Almost surely, 2^{5345198208000} is an apocalyptic number.

5345198208000 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 5345198208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283194792960).

5345198208000 is an abundant number, since it is smaller than the sum of its proper divisors (19221191377920).

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

5345198208000 is a wasteful number, since it uses less digits than its factorization.

5345198208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5345198208000 in words is "five trillion, three hundred forty-five billion, one hundred ninety-eight million, two hundred eight thousand".