10296538560 has 1260 divisors, whose sum is σ = 47530868616. Its totient is φ = 2107607040.

The previous prime is 10296538543. The next prime is 10296538579. The reversal of 10296538560 is 6583569201.

10296538560 is a `hidden beast` number, since 1 + 0 + 29 + 65 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153679647 + ... + 153679713.

Almost surely, 2^10296538560 is an apocalyptic number.

10296538560 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 10296538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23765434308).

10296538560 is an abundant number, since it is smaller than the sum of its proper divisors (37234330056).

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

10296538560 is a wasteful number, since it uses less digits than its factorization.

10296538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10296538560 in words is "ten billion, two hundred ninety-six million, five hundred thirty-eight thousand, five hundred sixty".