10345515200 has 168 divisors, whose sum is σ = 27306087120. Its totient is φ = 3845836800.

The previous prime is 10345515197. The next prime is 10345515227. The reversal of 10345515200 is 251554301.

It is a self number, because there is not a number n which added to its sum of digits gives 10345515200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1607990 + ... + 1614410.

Almost surely, 2^10345515200 is an apocalyptic number.

10345515200 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 10345515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653043560).

10345515200 is an abundant number, since it is smaller than the sum of its proper divisors (16960571920).

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

10345515200 is a wasteful number, since it uses less digits than its factorization.

10345515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 10345515200 in words is "ten billion, three hundred forty-five million, five hundred fifteen thousand, two hundred".