10197592416 has 192 divisors, whose sum is σ = 33202794240. Its totient is φ = 3018193920.

The previous prime is 10197592267. The next prime is 10197592439. The reversal of 10197592416 is 61429579101.

10197592416 is a `hidden beast` number, since 1 + 0 + 19 + 7 + 592 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396196 + ... + 421148.

It is an arithmetic number, because the mean of its divisors is an integer number (172931220).

Almost surely, 2^10197592416 is an apocalyptic number.

10197592416 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 10197592416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601397120).

10197592416 is an abundant number, since it is smaller than the sum of its proper divisors (23005201824).

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

10197592416 is a wasteful number, since it uses less digits than its factorization.

10197592416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25026 (or 25012 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10197592416 in words is "ten billion, one hundred ninety-seven million, five hundred ninety-two thousand, four hundred sixteen".