10561985280 has 1152 divisors, whose sum is σ = 48271104000. Its totient is φ = 2194698240.

The previous prime is 10561985279. The next prime is 10561985303. The reversal of 10561985280 is 8258916501.

It is a happy number.

10561985280 is a `hidden beast` number, since 1 + 0 + 5 + 619 + 8 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10561985280² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 960180475 + ... + 960180485.

It is an arithmetic number, because the mean of its divisors is an integer number (41902000).

Almost surely, 2^10561985280 is an apocalyptic number.

10561985280 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 10561985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135552000).

10561985280 is an abundant number, since it is smaller than the sum of its proper divisors (37709118720).

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

10561985280 is an frugal number, since it uses more digits than its factorization.

10561985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 10561985280 in words is "ten billion, five hundred sixty-one million, nine hundred eighty-five thousand, two hundred eighty".