10273548164880 has 1280 divisors, whose sum is σ = 45349753430016. Its totient is φ = 1851628584960.

The previous prime is 10273548164857. The next prime is 10273548164899. The reversal of 10273548164880 is 8846184537201.

It is a super-2 number, since 2×10273548164880² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10273548164880.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3091646899 + ... + 3091650221.

Almost surely, 2^{10273548164880} is an apocalyptic number.

10273548164880 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 10273548164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674876715008).

10273548164880 is an abundant number, since it is smaller than the sum of its proper divisors (35076205265136).

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

10273548164880 is a wasteful number, since it uses less digits than its factorization.

10273548164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 10273548164880 in words is "ten trillion, two hundred seventy-three billion, five hundred forty-eight million, one hundred sixty-four thousand, eight hundred eighty".