10480197304800 has 864 divisors, whose sum is σ = 40445773804800. Its totient is φ = 2542082457600.

The previous prime is 10480197304739. The next prime is 10480197304847. The reversal of 10480197304800 is 840379108401.

It is a happy number.

10480197304800 is a `hidden beast` number, since 1 + 0 + 4 + 80 + 1 + 97 + 3 + 0 + 480 + 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 143 ways as a sum of consecutive naturals, for example, 3980324284 + ... + 3980326916.

It is an arithmetic number, because the mean of its divisors is an integer number (46812238200).

Almost surely, 2^{10480197304800} is an apocalyptic number.

10480197304800 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 10480197304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222886902400).

10480197304800 is an abundant number, since it is smaller than the sum of its proper divisors (29965576500000).

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

10480197304800 is a wasteful number, since it uses less digits than its factorization.

10480197304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10480197304800 in words is "ten trillion, four hundred eighty billion, one hundred ninety-seven million, three hundred four thousand, eight hundred".