10240453665600 has 504 divisors, whose sum is σ = 34627459941792. Its totient is φ = 2648822169600.

The previous prime is 10240453665587. The next prime is 10240453665623. The reversal of 10240453665600 is 656635404201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1560327919 + ... + 1560334481.

Almost surely, 2^{10240453665600} is an apocalyptic number.

10240453665600 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 10240453665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313729970896).

10240453665600 is an abundant number, since it is smaller than the sum of its proper divisors (24387006276192).

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

10240453665600 is an equidigital number, since it uses as much as digits as its factorization.

10240453665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 10240453665600 in words is "ten trillion, two hundred forty billion, four hundred fifty-three million, six hundred sixty-five thousand, six hundred".