10561477108896 has 768 divisors, whose sum is σ = 37561345920000. Its totient is φ = 2823086407680.

The previous prime is 10561477108873. The next prime is 10561477108901. The reversal of 10561477108896 is 69880177416501.

10561477108896 is a `hidden beast` number, since 1 + 0 + 5 + 61 + 477 + 10 + 8 + 8 + 96 = 666.

It is a super-2 number, since 2×10561477108896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1071464800 + ... + 1071474656.

It is an arithmetic number, because the mean of its divisors is an integer number (48908002500).

Almost surely, 2^{10561477108896} is an apocalyptic number.

10561477108896 is a gapful number since it is divisible by the number (16) 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 10561477108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780672960000).

10561477108896 is an abundant number, since it is smaller than the sum of its proper divisors (26999868811104).

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

10561477108896 is a wasteful number, since it uses less digits than its factorization.

10561477108896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102 (or 10088 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 10561477108896 in words is "ten trillion, five hundred sixty-one billion, four hundred seventy-seven million, one hundred eight thousand, eight hundred ninety-six".