10457249659584 has 448 divisors, whose sum is σ = 34179176865792. Its totient is φ = 2747768832000.

The previous prime is 10457249659531. The next prime is 10457249659631. The reversal of 10457249659584 is 48595694275401.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8707118184 + ... + 8707119384.

It is an arithmetic number, because the mean of its divisors is an integer number (76292805504).

Almost surely, 2^{10457249659584} is an apocalyptic number.

10457249659584 is a gapful number since it is divisible by the number (14) 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 10457249659584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17089588432896).

10457249659584 is an abundant number, since it is smaller than the sum of its proper divisors (23721927206208).

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

10457249659584 is a wasteful number, since it uses less digits than its factorization.

10457249659584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 69.

The spelling of 10457249659584 in words is "ten trillion, four hundred fifty-seven billion, two hundred forty-nine million, six hundred fifty-nine thousand, five hundred eighty-four".