10489345776 has 480 divisors, whose sum is σ = 39127495680. Its totient is φ = 2644088832.

The previous prime is 10489345771. The next prime is 10489345787. The reversal of 10489345776 is 67754398401.

10489345776 is a `hidden beast` number, since 10 + 489 + 34 + 57 + 76 = 666.

It is a super-3 number, since 3×10489345776³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489345771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8136940 + ... + 8138228.

It is an arithmetic number, because the mean of its divisors is an integer number (81515616).

Almost surely, 2^10489345776 is an apocalyptic number.

10489345776 is a gapful number since it is divisible by the number (16) 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 10489345776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563747840).

10489345776 is an abundant number, since it is smaller than the sum of its proper divisors (28638149904).

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

10489345776 is a wasteful number, since it uses less digits than its factorization.

10489345776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10489345776 in words is "ten billion, four hundred eighty-nine million, three hundred forty-five thousand, seven hundred seventy-six".