10063419264000 has 1584 divisors, whose sum is σ = 39369818943936. Its totient is φ = 2561974272000.

The previous prime is 10063419263993. The next prime is 10063419264083. The reversal of 10063419264000 is 46291436001.

10063419264000 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 3 + 4 + 1 + 9 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19315583740 + ... + 19315584260.

Almost surely, 2^{10063419264000} is an apocalyptic number.

10063419264000 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 10063419264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684909471968).

10063419264000 is an abundant number, since it is smaller than the sum of its proper divisors (29306399679936).

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

10063419264000 is an frugal number, since it uses more digits than its factorization.

10063419264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10063419264000 in words is "ten trillion, sixty-three billion, four hundred nineteen million, two hundred sixty-four thousand".