90199910190000 has 800 divisors, whose sum is σ = 339743714010624. Its totient is φ = 20410951680000.

The previous prime is 90199910189953. The next prime is 90199910190011. The reversal of 90199910190000 is 9101999109.

It is a super-2 number, since 2×90199910190000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 284931805 + ... + 285248195.

Almost surely, 2^{90199910190000} 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 90199910190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169871857005312).

90199910190000 is an abundant number, since it is smaller than the sum of its proper divisors (249543803820624).

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

90199910190000 is a wasteful number, since it uses less digits than its factorization.

90199910190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316495 (or 316474 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 48.

The spelling of 90199910190000 in words is "ninety trillion, one hundred ninety-nine billion, nine hundred ten million, one hundred ninety thousand".