10695489480 has 576 divisors, whose sum is σ = 41437992960. Its totient is φ = 2471399424.

The previous prime is 10695489451. The next prime is 10695489499. The reversal of 10695489480 is 8498459601.

10695489480 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 548 + 94 + 8 + 0 = 666.

It is a super-2 number, since 2×10695489480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27925369 + ... + 27925751.

It is an arithmetic number, because the mean of its divisors is an integer number (71940960).

Almost surely, 2^10695489480 is an apocalyptic number.

10695489480 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 10695489480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718996480).

10695489480 is an abundant number, since it is smaller than the sum of its proper divisors (30742503480).

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

10695489480 is a wasteful number, since it uses less digits than its factorization.

10695489480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10695489480 in words is "ten billion, six hundred ninety-five million, four hundred eighty-nine thousand, four hundred eighty".