10618982010 has 768 divisors, whose sum is σ = 39242649600. Its totient is φ = 1983066624.

The previous prime is 10618981999. The next prime is 10618982021. The reversal of 10618982010 is 1028981601.

10618982010 is a `hidden beast` number, since 1 + 0 + 618 + 9 + 8 + 20 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (10618981999) and next prime (10618982021).

It is a super-2 number, since 2×10618982010² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 246953049 + ... + 246953091.

It is an arithmetic number, because the mean of its divisors is an integer number (51097200).

Almost surely, 2^10618982010 is an apocalyptic number.

10618982010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10618982010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621324800).

10618982010 is an abundant number, since it is smaller than the sum of its proper divisors (28623667590).

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

10618982010 is a wasteful number, since it uses less digits than its factorization.

10618982010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10618982010 in words is "ten billion, six hundred eighteen million, nine hundred eighty-two thousand, ten".