10638593996800 has 432 divisors, whose sum is σ = 33473285150760. Its totient is φ = 3315916800000.

The previous prime is 10638593996761. The next prime is 10638593996813. The reversal of 10638593996800 is 869939583601.

It is a happy number.

10638593996800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10638593996800² (a number of 27 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 35 ways as a sum of consecutive naturals, for example, 27404050 + ... + 27789550.

Almost surely, 2^{10638593996800} is an apocalyptic number.

10638593996800 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 10638593996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736642575380).

10638593996800 is an abundant number, since it is smaller than the sum of its proper divisors (22834691153960).

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

10638593996800 is a wasteful number, since it uses less digits than its factorization.

10638593996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385558 (or 385526 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 67.

The spelling of 10638593996800 in words is "ten trillion, six hundred thirty-eight billion, five hundred ninety-three million, nine hundred ninety-six thousand, eight hundred".