10677322560 has 224 divisors, whose sum is σ = 35112960000. Its totient is φ = 2746091520.

The previous prime is 10677322519. The next prime is 10677322577. The reversal of 10677322560 is 6522377601.

It is a super-2 number, since 2×10677322560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14849881 + ... + 14850599.

Almost surely, 2^10677322560 is an apocalyptic number.

10677322560 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 10677322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480000).

10677322560 is an abundant number, since it is smaller than the sum of its proper divisors (24435637440).

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

10677322560 is a wasteful number, since it uses less digits than its factorization.

10677322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 10677322560 in words is "ten billion, six hundred seventy-seven million, three hundred twenty-two thousand, five hundred sixty".