10738566558720 has 2816 divisors, whose sum is σ = 52008960245760. Its totient is φ = 2028876595200.

The previous prime is 10738566558667. The next prime is 10738566558721. The reversal of 10738566558720 is 2785566583701.

10738566558720 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 5 + 6 + 6 + 558 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-4 number, since 4×10738566558720⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10738566558721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9824854494 + ... + 9824855586.

Almost surely, 2^{10738566558720} is an apocalyptic number.

10738566558720 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 10738566558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004480122880).

10738566558720 is an abundant number, since it is smaller than the sum of its proper divisors (41270393687040).

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

10738566558720 is a wasteful number, since it uses less digits than its factorization.

10738566558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 10738566558720 in words is "ten trillion, seven hundred thirty-eight billion, five hundred sixty-six million, five hundred fifty-eight thousand, seven hundred twenty".