90190019010000 has 1600 divisors, whose sum is σ = 367358887526400. Its totient is φ = 18555070464000.

The previous prime is 90190019009957. The next prime is 90190019010023. The reversal of 90190019010000 is 1091009109.

It is a super-2 number, since 2×90190019010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 90190019010000.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 20455887796 + ... + 20455892204.

It is an arithmetic number, because the mean of its divisors is an integer number (229599304704).

Almost surely, 2^{90190019010000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90190019010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183679443763200).

90190019010000 is an abundant number, since it is smaller than the sum of its proper divisors (277168868516400).

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

90190019010000 is a wasteful number, since it uses less digits than its factorization.

90190019010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 90190019010000 in words is "ninety trillion, one hundred ninety billion, nineteen million, ten thousand".