10895009976081 has 225 divisors, whose sum is σ = 20873769913755. Its totient is φ = 5646674436480.

The previous prime is 10895009976079. The next prime is 10895009976083. The reversal of 10895009976081 is 18067990059801.

The square root of 10895009976081 is 3300759.

It is a perfect power (a square), and thus also a powerful number.

10895009976081 is a `hidden beast` number, since 10 + 8 + 9 + 5 + 0 + 0 + 9 + 9 + 7 + 608 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10895009976079) and next prime (10895009976083).

It can be written as a sum of positive squares in only one way, i.e., 1221765462225 + 9673244513856 = 1105335^2 + 3110184^2 .

It is not a de Polignac number, because 10895009976081 - 2¹ = 10895009976079 is a prime.

It is a super-2 number, since 2×10895009976081² (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 not an unprimeable number, because it can be changed into a prime (10895009976083) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 25161685641 + ... + 25161686073.

Almost surely, 2^{10895009976081} is an apocalyptic number.

10895009976081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10895009976081 is the 3300759-th square number.

10895009976081 is the 1650380-th centered octagonal number.

It is an amenable number.

10895009976081 is a deficient number, since it is larger than the sum of its proper divisors (9978759937674).

10895009976081 is an frugal number, since it uses more digits than its factorization.

10895009976081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 10895009976081 in words is "ten trillion, eight hundred ninety-five billion, nine million, nine hundred seventy-six thousand, eighty-one".