10870730240 has 320 divisors, whose sum is σ = 29187221184. Its totient is φ = 3864526848.

The previous prime is 10870730239. The next prime is 10870730279. The reversal of 10870730240 is 4203707801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10870730197 and 10870730206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69240242 + ... + 69240398.

Almost surely, 2^10870730240 is an apocalyptic number.

10870730240 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 10870730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593610592).

10870730240 is an abundant number, since it is smaller than the sum of its proper divisors (18316490944).

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

10870730240 is a wasteful number, since it uses less digits than its factorization.

10870730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 10870730240 in words is "ten billion, eight hundred seventy million, seven hundred thirty thousand, two hundred forty".