10540200000 has 336 divisors, whose sum is σ = 38049939648. Its totient is φ = 2553600000.

The previous prime is 10540199983. The next prime is 10540200001. The reversal of 10540200000 is 204501.

It is a super-2 number, since 2×10540200000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10540200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599202 + ... + 6600798.

It is an arithmetic number, because the mean of its divisors is an integer number (113243868).

Almost surely, 2^10540200000 is an apocalyptic number.

10540200000 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 10540200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024969824).

10540200000 is an abundant number, since it is smaller than the sum of its proper divisors (27509739648).

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

10540200000 is an equidigital number, since it uses as much as digits as its factorization.

10540200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 10540200000 its reverse (204501), we get a palindrome (10540404501).

The spelling of 10540200000 in words is "ten billion, five hundred forty million, two hundred thousand".