10119495680 has 180 divisors, whose sum is σ = 28262323908. Its totient is φ = 3468165120.

The previous prime is 10119495643. The next prime is 10119495689. The reversal of 10119495680 is 8659491101.

It can be written as a sum of positive squares in 2 ways, for example, as 1099055104 + 9020440576 = 33152^2 + 94976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10119495689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4012820 + ... + 4015340.

Almost surely, 2^10119495680 is an apocalyptic number.

10119495680 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 10119495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131161954).

10119495680 is an abundant number, since it is smaller than the sum of its proper divisors (18142828228).

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

10119495680 is an frugal number, since it uses more digits than its factorization.

10119495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 44.

The spelling of 10119495680 in words is "ten billion, one hundred nineteen million, four hundred ninety-five thousand, six hundred eighty".