10467248640000 has 520 divisors, whose sum is σ = 35448720428352. Its totient is φ = 2745384960000.

The previous prime is 10467248639959. The next prime is 10467248640053. The reversal of 10467248640000 is 4684276401.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468468829 + ... + 468491171.

Almost surely, 2^{10467248640000} is an apocalyptic number.

10467248640000 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 10467248640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724360214176).

10467248640000 is an abundant number, since it is smaller than the sum of its proper divisors (24981471788352).

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

10467248640000 is an frugal number, since it uses more digits than its factorization.

10467248640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22451 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 10467248640000 in words is "ten trillion, four hundred sixty-seven billion, two hundred forty-eight million, six hundred forty thousand".