10263473328800 has 288 divisors, whose sum is σ = 26120288194560. Its totient is φ = 3933657907200.

The previous prime is 10263473328761. The next prime is 10263473328833. The reversal of 10263473328800 is 882337436201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4789300529 + ... + 4789302671.

It is an arithmetic number, because the mean of its divisors is an integer number (90695445120).

Almost surely, 2^{10263473328800} is an apocalyptic number.

10263473328800 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 10263473328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060144097280).

10263473328800 is an abundant number, since it is smaller than the sum of its proper divisors (15856814865760).

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

10263473328800 is a wasteful number, since it uses less digits than its factorization.

10263473328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 10263473328800 in words is "ten trillion, two hundred sixty-three billion, four hundred seventy-three million, three hundred twenty-eight thousand, eight hundred".