10067960448000 has 2112 divisors, whose sum is σ = 46319918980608. Its totient is φ = 2123631820800.

The previous prime is 10067960447981. The next prime is 10067960448023. The reversal of 10067960448000 is 84406976001.

10067960448000 is a `hidden beast` number, since 100 + 6 + 7 + 9 + 60 + 4 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2830462222 + ... + 2830465778.

Almost surely, 2^{10067960448000} is an apocalyptic number.

10067960448000 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 10067960448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159959490304).

10067960448000 is an abundant number, since it is smaller than the sum of its proper divisors (36251958532608).

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

10067960448000 is an equidigital number, since it uses as much as digits as its factorization.

10067960448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10067960448000 in words is "ten trillion, sixty-seven billion, nine hundred sixty million, four hundred forty-eight thousand".