90365829120000 has 2040 divisors, whose sum is σ = 386922254694976. Its totient is φ = 20639121408000.

The previous prime is 90365829119989. The next prime is 90365829120041. The reversal of 90365829120000 is 2192856309.

90365829120000 is a `hidden beast` number, since 9 + 0 + 365 + 82 + 9 + 1 + 200 + 0 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69672959352 + ... + 69672960648.

Almost surely, 2^{90365829120000} is an apocalyptic number.

90365829120000 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 90365829120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193461127347488).

90365829120000 is an abundant number, since it is smaller than the sum of its proper divisors (296556425574976).

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

90365829120000 is an frugal number, since it uses more digits than its factorization.

90365829120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 90365829120000 in words is "ninety trillion, three hundred sixty-five billion, eight hundred twenty-nine million, one hundred twenty thousand".