10289191680 has 216 divisors, whose sum is σ = 37148293728. Its totient is φ = 2624421888.

The previous prime is 10289191669. The next prime is 10289191697. The reversal of 10289191680 is 8619198201.

It is a super-3 number, since 3×10289191680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245544 + ... + 284376.

Almost surely, 2^10289191680 is an apocalyptic number.

10289191680 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 10289191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574146864).

10289191680 is an abundant number, since it is smaller than the sum of its proper divisors (26859102048).

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

10289191680 is a wasteful number, since it uses less digits than its factorization.

10289191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38883 (or 38866 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 10289191680 in words is "ten billion, two hundred eighty-nine million, one hundred ninety-one thousand, six hundred eighty".