10090010226816 has 384 divisors, whose sum is σ = 31904004263040. Its totient is φ = 3042060779520.

The previous prime is 10090010226809. The next prime is 10090010226817. The reversal of 10090010226816 is 61862201009001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10090010226817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173288140 + ... + 173346356.

It is an arithmetic number, because the mean of its divisors is an integer number (83083344435).

Almost surely, 2^{10090010226816} is an apocalyptic number.

10090010226816 is a gapful number since it is divisible by the number (16) 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 10090010226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952002131520).

10090010226816 is an abundant number, since it is smaller than the sum of its proper divisors (21813994036224).

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

10090010226816 is a wasteful number, since it uses less digits than its factorization.

10090010226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58484 (or 58469 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10090010226816 in words is "ten trillion, ninety billion, ten million, two hundred twenty-six thousand, eight hundred sixteen".