10900707840 has 720 divisors, whose sum is σ = 43490921760. Its totient is φ = 2597806080.

The previous prime is 10900707821. The next prime is 10900707841. The reversal of 10900707840 is 4870700901.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10900707795 and 10900707804.

It is not an unprimeable number, because it can be changed into a prime (10900707841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184757731 + ... + 184757789.

It is an arithmetic number, because the mean of its divisors is an integer number (60404058).

Almost surely, 2^10900707840 is an apocalyptic number.

10900707840 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 10900707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21745460880).

10900707840 is an abundant number, since it is smaller than the sum of its proper divisors (32590213920).

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

10900707840 is an frugal number, since it uses more digits than its factorization.

10900707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10900707840 in words is "ten billion, nine hundred million, seven hundred seven thousand, eight hundred forty".