10820874240 has 520 divisors, whose sum is σ = 42387835248. Its totient is φ = 2618818560.

The previous prime is 10820874217. The next prime is 10820874263. The reversal of 10820874240 is 4247802801.

It is an interprime number because it is at equal distance from previous prime (10820874217) and next prime (10820874263).

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 = 10820874195 and 10820874204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247384 + ... + 18247976.

Almost surely, 2^10820874240 is an apocalyptic number.

10820874240 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 10820874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21193917624).

10820874240 is an abundant number, since it is smaller than the sum of its proper divisors (31566961008).

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

10820874240 is an equidigital number, since it uses as much as digits as its factorization.

10820874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10820874240 in words is "ten billion, eight hundred twenty million, eight hundred seventy-four thousand, two hundred forty".