5906115355200 has 336 divisors, whose sum is σ = 19771520267904. Its totient is φ = 1543097548800.

The previous prime is 5906115355193. The next prime is 5906115355201. The reversal of 5906115355200 is 25535116095.

It is not an unprimeable number, because it can be changed into a prime (5906115355201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75210357 + ... + 75288843.

Almost surely, 2^{5906115355200} is an apocalyptic number.

5906115355200 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 5906115355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885760133952).

5906115355200 is an abundant number, since it is smaller than the sum of its proper divisors (13865404912704).

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

5906115355200 is a wasteful number, since it uses less digits than its factorization.

5906115355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78830 (or 78815 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The spelling of 5906115355200 in words is "five trillion, nine hundred six billion, one hundred fifteen million, three hundred fifty-five thousand, two hundred".