10193578416 has 240 divisors, whose sum is σ = 34053177600. Its totient is φ = 2784886272.

The previous prime is 10193578361. The next prime is 10193578427. The reversal of 10193578416 is 61487539101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3126195 + ... + 3129453.

It is an arithmetic number, because the mean of its divisors is an integer number (141888240).

Almost surely, 2^10193578416 is an apocalyptic number.

10193578416 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 10193578416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026588800).

10193578416 is an abundant number, since it is smaller than the sum of its proper divisors (23859599184).

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

10193578416 is a wasteful number, since it uses less digits than its factorization.

10193578416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10193578416 in words is "ten billion, one hundred ninety-three million, five hundred seventy-eight thousand, four hundred sixteen".