10380511200 has 432 divisors, whose sum is σ = 36180684288. Its totient is φ = 2582016000.

The previous prime is 10380511199. The next prime is 10380511217. The reversal of 10380511200 is 211508301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125066359 + ... + 125066441.

It is an arithmetic number, because the mean of its divisors is an integer number (83751584).

Almost surely, 2^10380511200 is an apocalyptic number.

10380511200 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 10380511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090342144).

10380511200 is an abundant number, since it is smaller than the sum of its proper divisors (25800173088).

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

10380511200 is a wasteful number, since it uses less digits than its factorization.

10380511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 10380511200 in words is "ten billion, three hundred eighty million, five hundred eleven thousand, two hundred".