10291034880 has 864 divisors, whose sum is σ = 43620595200. Its totient is φ = 2289917952.

The previous prime is 10291034879. The next prime is 10291034909. The reversal of 10291034880 is 8843019201.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10291034880² (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 95 ways as a sum of consecutive naturals, for example, 99912909 + ... + 99913011.

It is an arithmetic number, because the mean of its divisors is an integer number (50486800).

Almost surely, 2^10291034880 is an apocalyptic number.

10291034880 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 10291034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810297600).

10291034880 is an abundant number, since it is smaller than the sum of its proper divisors (33329560320).

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

10291034880 is a wasteful number, since it uses less digits than its factorization.

10291034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

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

The spelling of 10291034880 in words is "ten billion, two hundred ninety-one million, thirty-four thousand, eight hundred eighty".