10533846960 has 320 divisors, whose sum is σ = 44657141760. Its totient is φ = 2222484480.

The previous prime is 10533846949. The next prime is 10533846971. The reversal of 10533846960 is 6964833501.

10533846960 is a `hidden beast` number, since 10 + 533 + 8 + 46 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10533846949) and next prime (10533846971).

It is a super-2 number, since 2×10533846960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169765 + ... + 223355.

It is an arithmetic number, because the mean of its divisors is an integer number (139553568).

Almost surely, 2^10533846960 is an apocalyptic number.

10533846960 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 10533846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328570880).

10533846960 is an abundant number, since it is smaller than the sum of its proper divisors (34123294800).

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

10533846960 is a wasteful number, since it uses less digits than its factorization.

10533846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53633 (or 53621 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10533846960 in words is "ten billion, five hundred thirty-three million, eight hundred forty-six thousand, nine hundred sixty".