10985465181600 has 576 divisors, whose sum is σ = 48899412737280. Its totient is φ = 2317812019200.

The previous prime is 10985465181583. The next prime is 10985465181617. The reversal of 10985465181600 is 618156458901.

10985465181600 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 5 + 465 + 18 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10985465181583) and next prime (10985465181617).

It is a super-2 number, since 2×10985465181600² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828831 + ... + 4760030.

It is an arithmetic number, because the mean of its divisors is an integer number (84894813780).

Almost surely, 2^{10985465181600} is an apocalyptic number.

10985465181600 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 10985465181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449706368640).

10985465181600 is an abundant number, since it is smaller than the sum of its proper divisors (37913947555680).

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

10985465181600 is a wasteful number, since it uses less digits than its factorization.

10985465181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588910 (or 5588891 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 10985465181600 in words is "ten trillion, nine hundred eighty-five billion, four hundred sixty-five million, one hundred eighty-one thousand, six hundred".