10984356062680 has 768 divisors, whose sum is σ = 34449316070400. Its totient is φ = 3058937856000.

The previous prime is 10984356062653. The next prime is 10984356062689. The reversal of 10984356062680 is 8626065348901.

It is a super-2 number, since 2×10984356062680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984356062689) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2795710956 + ... + 2795714884.

It is an arithmetic number, because the mean of its divisors is an integer number (44855880300).

Almost surely, 2^{10984356062680} is an apocalyptic number.

10984356062680 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 10984356062680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224658035200).

10984356062680 is an abundant number, since it is smaller than the sum of its proper divisors (23464960007720).

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

10984356062680 is a wasteful number, since it uses less digits than its factorization.

10984356062680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 10984356062680 in words is "ten trillion, nine hundred eighty-four billion, three hundred fifty-six million, sixty-two thousand, six hundred eighty".