10721319148800 has 4320 divisors, whose sum is σ = 48293790110720. Its totient is φ = 2321901158400.

The previous prime is 10721319148751. The next prime is 10721319148829. The reversal of 10721319148800 is 884191312701.

It is a happy number.

10721319148800 is a `hidden beast` number, since 1 + 0 + 72 + 13 + 1 + 91 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×10721319148800² (a number of 27 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 146867385564 + ... + 146867385636.

Almost surely, 2^{10721319148800} is an apocalyptic number.

10721319148800 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 10721319148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146895055360).

10721319148800 is an abundant number, since it is smaller than the sum of its proper divisors (37572470961920).

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

10721319148800 is a wasteful number, since it uses less digits than its factorization.

10721319148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10721319148800 in words is "ten trillion, seven hundred twenty-one billion, three hundred nineteen million, one hundred forty-eight thousand, eight hundred".