10820910540 has 96 divisors (see below), whose sum is σ = 33313480704. Its totient is φ = 2602575360.

The previous prime is 10820910521. The next prime is 10820910547. The reversal of 10820910540 is 4501902801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10820910498 and 10820910507.

It is not an unprimeable number, because it can be changed into a prime (10820910547) 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, 19272 + ... + 148368.

It is an arithmetic number, because the mean of its divisors is an integer number (347015424).

Almost surely, 2^10820910540 is an apocalyptic number.

10820910540 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 10820910540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656740352).

10820910540 is an abundant number, since it is smaller than the sum of its proper divisors (22492570164).

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

10820910540 is a wasteful number, since it uses less digits than its factorization.

10820910540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129247 (or 129245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10820910540 in words is "ten billion, eight hundred twenty million, nine hundred ten thousand, five hundred forty".