10613144880 has 400 divisors, whose sum is σ = 42037246944. Its totient is φ = 2458460160.

The previous prime is 10613144879. The next prime is 10613144921. The reversal of 10613144880 is 8844131601.

It is a happy number.

10613144880 is a `hidden beast` number, since 1 + 0 + 6 + 131 + 448 + 80 = 666.

It is a super-2 number, since 2×10613144880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1428375 + ... + 1435785.

Almost surely, 2^10613144880 is an apocalyptic number.

10613144880 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 10613144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018623472).

10613144880 is an abundant number, since it is smaller than the sum of its proper divisors (31424102064).

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

10613144880 is a wasteful number, since it uses less digits than its factorization.

10613144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10613144880 in words is "ten billion, six hundred thirteen million, one hundred forty-four thousand, eight hundred eighty".