10038489600 has 240 divisors, whose sum is σ = 33354972288. Its totient is φ = 2661335040.

The previous prime is 10038489581. The next prime is 10038489619. The reversal of 10038489600 is 698483001.

It is an interprime number because it is at equal distance from previous prime (10038489581) and next prime (10038489619).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7564137 + ... + 7565463.

Almost surely, 2^10038489600 is an apocalyptic number.

10038489600 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 10038489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677486144).

10038489600 is an abundant number, since it is smaller than the sum of its proper divisors (23316482688).

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

10038489600 is a wasteful number, since it uses less digits than its factorization.

10038489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10038489600 in words is "ten billion, thirty-eight million, four hundred eighty-nine thousand, six hundred".