10194977520 has 1120 divisors, whose sum is σ = 46722759552. Its totient is φ = 2006581248.

The previous prime is 10194977509. The next prime is 10194977561. The reversal of 10194977520 is 2577949101.

10194977520 is a `hidden beast` number, since 1 + 0 + 19 + 49 + 77 + 520 = 666.

10194977520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 90220984 + ... + 90221096.

Almost surely, 2^10194977520 is an apocalyptic number.

10194977520 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 10194977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23361379776).

10194977520 is an abundant number, since it is smaller than the sum of its proper divisors (36527782032).

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

10194977520 is a wasteful number, since it uses less digits than its factorization.

10194977520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 10194977520 in words is "ten billion, one hundred ninety-four million, nine hundred seventy-seven thousand, five hundred twenty".