10858890240 has 704 divisors, whose sum is σ = 43460593920. Its totient is φ = 2548039680.

The previous prime is 10858890227. The next prime is 10858890247. The reversal of 10858890240 is 4209885801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10858890247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56263584 + ... + 56263776.

Almost surely, 2^10858890240 is an apocalyptic number.

10858890240 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 10858890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730296960).

10858890240 is an abundant number, since it is smaller than the sum of its proper divisors (32601703680).

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

10858890240 is a wasteful number, since it uses less digits than its factorization.

10858890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10858890240 in words is "ten billion, eight hundred fifty-eight million, eight hundred ninety thousand, two hundred forty".