10677277440000 has 600 divisors, whose sum is σ = 39852912579480. Its totient is φ = 2847246336000.

The previous prime is 10677277439989. The next prime is 10677277440031. The reversal of 10677277440000 is 4477277601.

10677277440000 is a `hidden beast` number, since 10 + 67 + 72 + 77 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10677277440000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103628509 + ... + 103731491.

Almost surely, 2^{10677277440000} is an apocalyptic number.

10677277440000 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 10677277440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926456289740).

10677277440000 is an abundant number, since it is smaller than the sum of its proper divisors (29175635139480).

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

10677277440000 is an frugal number, since it uses more digits than its factorization.

10677277440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103037 (or 102993 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 10677277440000 in words is "ten trillion, six hundred seventy-seven billion, two hundred seventy-seven million, four hundred forty thousand".