10195200840 has 256 divisors, whose sum is σ = 34567430400. Its totient is φ = 2384179200.

The previous prime is 10195200839. The next prime is 10195200863. The reversal of 10195200840 is 4800259101.

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 = 10195200798 and 10195200807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4266366 + ... + 4268754.

It is an arithmetic number, because the mean of its divisors is an integer number (135029025).

Almost surely, 2^10195200840 is an apocalyptic number.

10195200840 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 10195200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283715200).

10195200840 is an abundant number, since it is smaller than the sum of its proper divisors (24372229560).

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

10195200840 is a wasteful number, since it uses less digits than its factorization.

10195200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

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

Adding to 10195200840 its reverse (4800259101), we get a palindrome (14995459941).

The spelling of 10195200840 in words is "ten billion, one hundred ninety-five million, two hundred thousand, eight hundred forty".