10861153725600 has 720 divisors, whose sum is σ = 40930167801600. Its totient is φ = 2799865958400.

The previous prime is 10861153725547. The next prime is 10861153725607. The reversal of 10861153725600 is 652735116801.

10861153725600 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 1 + 1 + 5 + 37 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10861153725600² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10861153725607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2336232076 + ... + 2336236724.

It is an arithmetic number, because the mean of its divisors is an integer number (56847455280).

Almost surely, 2^{10861153725600} is an apocalyptic number.

10861153725600 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 10861153725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465083900800).

10861153725600 is an abundant number, since it is smaller than the sum of its proper divisors (30069014076000).

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

10861153725600 is a wasteful number, since it uses less digits than its factorization.

10861153725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10861153725600 in words is "ten trillion, eight hundred sixty-one billion, one hundred fifty-three million, seven hundred twenty-five thousand, six hundred".