90012384000 has 2160 divisors, whose sum is σ = 431044181568. Its totient is φ = 18247680000.

The previous prime is 90012383987. The next prime is 90012384013. The reversal of 90012384000 is 48321009.

It is an interprime number because it is at equal distance from previous prime (90012383987) and next prime (90012384013).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2195423980 + ... + 2195424020.

Almost surely, 2^90012384000 is an apocalyptic number.

90012384000 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 90012384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215522090784).

90012384000 is an abundant number, since it is smaller than the sum of its proper divisors (341031797568).

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

90012384000 is a wasteful number, since it uses less digits than its factorization.

90012384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 90012384000 in words is "ninety billion, twelve million, three hundred eighty-four thousand".