10201980464 has 80 divisors (see below), whose sum is σ = 22929199104. Its totient is φ = 4358534400.

The previous prime is 10201980463. The next prime is 10201980493. The reversal of 10201980464 is 46408910201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10201980463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113909 + ... + 182699.

Almost surely, 2^10201980464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201980464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464599552).

10201980464 is an abundant number, since it is smaller than the sum of its proper divisors (12727218640).

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

10201980464 is a wasteful number, since it uses less digits than its factorization.

10201980464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68866 (or 68860 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 10201980464 in words is "ten billion, two hundred one million, nine hundred eighty thousand, four hundred sixty-four".