10561490596800 has 2520 divisors, whose sum is σ = 46698970538880. Its totient is φ = 2320225689600.

The previous prime is 10561490596763. The next prime is 10561490596819. The reversal of 10561490596800 is 869509416501.

10561490596800 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 49 + 0 + 596 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×10561490596800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14214657229 + ... + 14214657971.

Almost surely, 2^{10561490596800} is an apocalyptic number.

10561490596800 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 10561490596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23349485269440).

10561490596800 is an abundant number, since it is smaller than the sum of its proper divisors (36137479942080).

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

10561490596800 is a wasteful number, since it uses less digits than its factorization.

10561490596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10561490596800 in words is "ten trillion, five hundred sixty-one billion, four hundred ninety million, five hundred ninety-six thousand, eight hundred".