10190831616 has 300 divisors, whose sum is σ = 34826864688. Its totient is φ = 2909011968.

The previous prime is 10190831561. The next prime is 10190831617. The reversal of 10190831616 is 61613809101.

It is a happy number.

10190831616 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 8 + 31 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190831617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9289180 + ... + 9290276.

Almost surely, 2^10190831616 is an apocalyptic number.

10190831616 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 10190831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413432344).

10190831616 is an abundant number, since it is smaller than the sum of its proper divisors (24636033072).

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

10190831616 is an frugal number, since it uses more digits than its factorization.

10190831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10190831616 in words is "ten billion, one hundred ninety million, eight hundred thirty-one thousand, six hundred sixteen".