10152345600 has 672 divisors, whose sum is σ = 39969403290. Its totient is φ = 2548039680.

The previous prime is 10152345569. The next prime is 10152345641. The reversal of 10152345600 is 654325101.

10152345600 is a `hidden beast` number, since 1 + 0 + 1 + 52 + 3 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8707129344 + 1445216256 = 93312^2 + 38016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 597196792 + ... + 597196808.

Almost surely, 2^10152345600 is an apocalyptic number.

10152345600 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 10152345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984701645).

10152345600 is an abundant number, since it is smaller than the sum of its proper divisors (29817057690).

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

10152345600 is an frugal number, since it uses more digits than its factorization.

10152345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10152345600 in words is "ten billion, one hundred fifty-two million, three hundred forty-five thousand, six hundred".