10223119703160 has 640 divisors, whose sum is σ = 42305864388480. Its totient is φ = 2156183027712.

The previous prime is 10223119703149. The next prime is 10223119703179. The reversal of 10223119703160 is 6130791132201.

10223119703160 is a `hidden beast` number, since 1 + 0 + 22 + 311 + 9 + 7 + 0 + 316 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1200879064 + ... + 1200887576.

It is an arithmetic number, because the mean of its divisors is an integer number (66102913107).

Almost surely, 2^{10223119703160} is an apocalyptic number.

10223119703160 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 10223119703160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152932194240).

10223119703160 is an abundant number, since it is smaller than the sum of its proper divisors (32082744685320).

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

10223119703160 is a wasteful number, since it uses less digits than its factorization.

10223119703160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10223119703160 in words is "ten trillion, two hundred twenty-three billion, one hundred nineteen million, seven hundred three thousand, one hundred sixty".