90963849600 has 576 divisors, whose sum is σ = 352081111200. Its totient is φ = 22228992000.

The previous prime is 90963849593. The next prime is 90963849607. The reversal of 90963849600 is 694836909.

It is a happy number.

90963849600 is a `hidden beast` number, since 90 + 9 + 63 + 8 + 496 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90963849593) and next prime (90963849607).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90963849607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 56533596 + ... + 56535204.

Almost surely, 2^90963849600 is an apocalyptic number.

90963849600 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 90963849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176040555600).

90963849600 is an abundant number, since it is smaller than the sum of its proper divisors (261117261600).

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

90963849600 is a wasteful number, since it uses less digits than its factorization.

90963849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 90963849600 in words is "ninety billion, nine hundred sixty-three million, eight hundred forty-nine thousand, six hundred".