10189706932416 has 896 divisors, whose sum is σ = 33400009359360. Its totient is φ = 2704549478400.

The previous prime is 10189706932411. The next prime is 10189706932441. The reversal of 10189706932416 is 61423960798101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (10189706932411) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4275998361 + ... + 4276000743.

It is an arithmetic number, because the mean of its divisors is an integer number (37276796160).

Almost surely, 2^{10189706932416} is an apocalyptic number.

10189706932416 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 10189706932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700004679680).

10189706932416 is an abundant number, since it is smaller than the sum of its proper divisors (23210302426944).

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

10189706932416 is a wasteful number, since it uses less digits than its factorization.

10189706932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10189706932416 in words is "ten trillion, one hundred eighty-nine billion, seven hundred six million, nine hundred thirty-two thousand, four hundred sixteen".