10195130880 has 960 divisors, whose sum is σ = 42319791360. Its totient is φ = 2319482880.

The previous prime is 10195130863. The next prime is 10195130887. The reversal of 10195130880 is 8803159101.

It is a tau number, because it is divible by the number of its divisors (960).

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 (10195130887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192360934 + ... + 192360986.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^10195130880 is an apocalyptic number.

10195130880 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 10195130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159895680).

10195130880 is an abundant number, since it is smaller than the sum of its proper divisors (32124660480).

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

10195130880 is a wasteful number, since it uses less digits than its factorization.

10195130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Adding to 10195130880 its reverse (8803159101), we get a palindrome (18998289981).

The spelling of 10195130880 in words is "ten billion, one hundred ninety-five million, one hundred thirty thousand, eight hundred eighty".