10676524114080 has 1440 divisors, whose sum is σ = 45270345415680. Its totient is φ = 2357235302400.

The previous prime is 10676524114073. The next prime is 10676524114121. The reversal of 10676524114080 is 8041142567601.

10676524114080 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 6 + 524 + 1 + 1 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10676524114080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 826413861 + ... + 826426779.

It is an arithmetic number, because the mean of its divisors is an integer number (31437739872).

Almost surely, 2^{10676524114080} is an apocalyptic number.

10676524114080 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 10676524114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22635172707840).

10676524114080 is an abundant number, since it is smaller than the sum of its proper divisors (34593821301600).

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

10676524114080 is a wasteful number, since it uses less digits than its factorization.

10676524114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13016 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10676524114080 in words is "ten trillion, six hundred seventy-six billion, five hundred twenty-four million, one hundred fourteen thousand, eighty".