10638660480 has 192 divisors, whose sum is σ = 39447524880. Its totient is φ = 2431672320.

The previous prime is 10638660437. The next prime is 10638660499. The reversal of 10638660480 is 8406683601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10638660480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37540 + ... + 150620.

Almost surely, 2^10638660480 is an apocalyptic number.

10638660480 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 10638660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19723762440).

10638660480 is an abundant number, since it is smaller than the sum of its proper divisors (28808864400).

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

10638660480 is a wasteful number, since it uses less digits than its factorization.

10638660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113117 (or 113098 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10638660480 in words is "ten billion, six hundred thirty-eight million, six hundred sixty thousand, four hundred eighty".