90001152000 has 768 divisors, whose sum is σ = 344962800000. Its totient is φ = 23121100800.

The previous prime is 90001151963. The next prime is 90001152019. The reversal of 90001152000 is 25110009.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×90001152000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200447776 + ... + 200448224.

Almost surely, 2^90001152000 is an apocalyptic number.

90001152000 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 90001152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172481400000).

90001152000 is an abundant number, since it is smaller than the sum of its proper divisors (254961648000).

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

90001152000 is a wasteful number, since it uses less digits than its factorization.

90001152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 90001152000 its reverse (25110009), we get a palindrome (90026262009).

The spelling of 90001152000 in words is "ninety billion, one million, one hundred fifty-two thousand".