90563961600 has 1512 divisors, whose sum is σ = 398919467520. Its totient is φ = 19916513280.

The previous prime is 90563961571. The next prime is 90563961601. The reversal of 90563961600 is 616936509.

90563961600 is a `hidden beast` number, since 9 + 0 + 5 + 6 + 39 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×90563961600² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90563961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1534982371 + ... + 1534982429.

Almost surely, 2^90563961600 is an apocalyptic number.

90563961600 is a gapful number since it is divisible by the number (90) 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 90563961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199459733760).

90563961600 is an abundant number, since it is smaller than the sum of its proper divisors (308355505920).

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

90563961600 is an equidigital number, since it uses as much as digits as its factorization.

90563961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 90563961600 in words is "ninety billion, five hundred sixty-three million, nine hundred sixty-one thousand, six hundred".