10704981893760 has 4608 divisors, whose sum is σ = 52895809209600. Its totient is φ = 2021444812800.

The previous prime is 10704981893731. The next prime is 10704981893773. The reversal of 10704981893760 is 6739818940701.

10704981893760 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 498 + 1 + 89 + 3 + 7 + 60 = 666.

It is a super-2 number, since 2×10704981893760² (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 575 ways as a sum of consecutive naturals, for example, 110360638032 + ... + 110360638128.

Almost surely, 2^{10704981893760} is an apocalyptic number.

10704981893760 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 10704981893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447904604800).

10704981893760 is an abundant number, since it is smaller than the sum of its proper divisors (42190827315840).

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

10704981893760 is a wasteful number, since it uses less digits than its factorization.

10704981893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10704981893760 in words is "ten trillion, seven hundred four billion, nine hundred eighty-one million, eight hundred ninety-three thousand, seven hundred sixty".