10090919290900 has 144 divisors (see below), whose sum is σ = 26503474669056. Its totient is φ = 3255503431680.

The previous prime is 10090919290891. The next prime is 10090919290937. The reversal of 10090919290900 is 909291909001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54612069 + ... + 54796531.

It is an arithmetic number, because the mean of its divisors is an integer number (184051907424).

Almost surely, 2^{10090919290900} is an apocalyptic number.

10090919290900 is a gapful number since it is divisible by the number (10) 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 10090919290900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251737334528).

10090919290900 is an abundant number, since it is smaller than the sum of its proper divisors (16412555378156).

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

10090919290900 is a wasteful number, since it uses less digits than its factorization.

10090919290900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189098 (or 189091 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 49.

The spelling of 10090919290900 in words is "ten trillion, ninety billion, nine hundred nineteen million, two hundred ninety thousand, nine hundred".