10681487337600 has 288 divisors, whose sum is σ = 38123886717540. Its totient is φ = 2847657369600.

The previous prime is 10681487337527. The next prime is 10681487337601. The reversal of 10681487337600 is 673378418601.

10681487337600 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 487 + 33 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1060125581376 + 9621361756224 = 1029624^2 + 3101832^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10681487337600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681487337601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115758682 + ... + 115850918.

Almost surely, 2^{10681487337600} is an apocalyptic number.

10681487337600 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 10681487337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061943358770).

10681487337600 is an abundant number, since it is smaller than the sum of its proper divisors (27442399379940).

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

10681487337600 is a wasteful number, since it uses less digits than its factorization.

10681487337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96288 (or 96268 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10681487337600 in words is "ten trillion, six hundred eighty-one billion, four hundred eighty-seven million, three hundred thirty-seven thousand, six hundred".