90894960000 has 1200 divisors, whose sum is σ = 370430689860. Its totient is φ = 22104576000.

The previous prime is 90894959977. The next prime is 90894960031. The reversal of 90894960000 is 6949809.

It is a tau number, because it is divible by the number of its divisors (1200).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1095119959 + ... + 1095120041.

Almost surely, 2^90894960000 is an apocalyptic number.

90894960000 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 90894960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185215344930).

90894960000 is an abundant number, since it is smaller than the sum of its proper divisors (279535729860).

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

90894960000 is an equidigital number, since it uses as much as digits as its factorization.

90894960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 90894960000 in words is "ninety billion, eight hundred ninety-four million, nine hundred sixty thousand".