906496026052200 has 192 divisors, whose sum is σ = 2814908551732800. Its totient is φ = 241321928601600.

The previous prime is 906496026052153. The next prime is 906496026052219. The reversal of 906496026052200 is 2250620694609.

It is a super-2 number, since 2×906496026052200² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6183012496 + ... + 6183159104.

It is an arithmetic number, because the mean of its divisors is an integer number (14660982040275).

Almost surely, 2^{906496026052200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906496026052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407454275866400).

906496026052200 is an abundant number, since it is smaller than the sum of its proper divisors (1908412525680600).

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

906496026052200 is a wasteful number, since it uses less digits than its factorization.

906496026052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164052 (or 164043 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 906496026052200 in words is "nine hundred six trillion, four hundred ninety-six billion, twenty-six million, fifty-two thousand, two hundred".