10858414080 has 480 divisors, whose sum is σ = 38729021184. Its totient is φ = 2583691264.

The previous prime is 10858414079. The next prime is 10858414081. The reversal of 10858414080 is 8041485801.

It is an interprime number because it is at equal distance from previous prime (10858414079) and next prime (10858414081).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (10858414081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96092104 + ... + 96092216.

Almost surely, 2^10858414080 is an apocalyptic number.

10858414080 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 10858414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364510592).

10858414080 is an abundant number, since it is smaller than the sum of its proper divisors (27870607104).

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

10858414080 is a wasteful number, since it uses less digits than its factorization.

10858414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

Adding to 10858414080 its reverse (8041485801), we get a palindrome (18899899881).

The spelling of 10858414080 in words is "ten billion, eight hundred fifty-eight million, four hundred fourteen thousand, eighty".