10677260880 has 240 divisors, whose sum is σ = 42127053696. Its totient is φ = 2389294080.

The previous prime is 10677260849. The next prime is 10677260911. The reversal of 10677260880 is 8806277601.

It is an interprime number because it is at equal distance from previous prime (10677260849) and next prime (10677260911).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10677260880² (a number of 21 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 47 ways as a sum of consecutive naturals, for example, 51109 + ... + 154811.

Almost surely, 2^10677260880 is an apocalyptic number.

10677260880 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 10677260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21063526848).

10677260880 is an abundant number, since it is smaller than the sum of its proper divisors (31449792816).

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

10677260880 is a wasteful number, since it uses less digits than its factorization.

10677260880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103746 (or 103737 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10677260880 in words is "ten billion, six hundred seventy-seven million, two hundred sixty thousand, eight hundred eighty".