10611996480 has 84 divisors (see below), whose sum is σ = 36500856132. Its totient is φ = 2829864960.

The previous prime is 10611996467. The next prime is 10611996487. The reversal of 10611996480 is 8469911601.

10611996480 is a `hidden beast` number, since 10 + 61 + 19 + 96 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7357522176 + 3254474304 = 85776^2 + 57048^2 .

It is a super-2 number, since 2×10611996480² (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 not an unprimeable number, because it can be changed into a prime (10611996487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839481 + ... + 1845240.

Almost surely, 2^10611996480 is an apocalyptic number.

10611996480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10611996480 is an abundant number, since it is smaller than the sum of its proper divisors (25888859652).

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

10611996480 is a wasteful number, since it uses less digits than its factorization.

10611996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684744 (or 3684731 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10611996480 in words is "ten billion, six hundred eleven million, nine hundred ninety-six thousand, four hundred eighty".