10301294880 has 240 divisors, whose sum is σ = 36515755584. Its totient is φ = 2746172160.

The previous prime is 10301294867. The next prime is 10301294881. The reversal of 10301294880 is 8849210301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10301294880² (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 not an unprimeable number, because it can be changed into a prime (10301294881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3147645 + ... + 3150915.

Almost surely, 2^10301294880 is an apocalyptic number.

10301294880 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 10301294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257877792).

10301294880 is an abundant number, since it is smaller than the sum of its proper divisors (26214460704).

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

10301294880 is an frugal number, since it uses more digits than its factorization.

10301294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10301294880 in words is "ten billion, three hundred one million, two hundred ninety-four thousand, eight hundred eighty".