10557453728640 has 2048 divisors, whose sum is σ = 45082759680000. Its totient is φ = 2088124416000.

The previous prime is 10557453728629. The next prime is 10557453728687. The reversal of 10557453728640 is 4682735475501.

It is a happy number.

It is a super-2 number, since 2×10557453728640² (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 255 ways as a sum of consecutive naturals, for example, 42061568515 + ... + 42061568765.

It is an arithmetic number, because the mean of its divisors is an integer number (22013066250).

Almost surely, 2^{10557453728640} is an apocalyptic number.

10557453728640 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 10557453728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541379840000).

10557453728640 is an abundant number, since it is smaller than the sum of its proper divisors (34525305951360).

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

10557453728640 is an equidigital number, since it uses as much as digits as its factorization.

10557453728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 57.

The spelling of 10557453728640 in words is "ten trillion, five hundred fifty-seven billion, four hundred fifty-three million, seven hundred twenty-eight thousand, six hundred forty".