10273512718890 has 64 divisors (see below), whose sum is σ = 27494936766720. Its totient is φ = 2729713106880.

The previous prime is 10273512718879. The next prime is 10273512718907. The reversal of 10273512718890 is 9881721537201.

10273512718890 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 351 + 27 + 188 + 90 = 666.

10273512718890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68607606 + ... + 68757185.

It is an arithmetic number, because the mean of its divisors is an integer number (429608386980).

Almost surely, 2^{10273512718890} is an apocalyptic number.

10273512718890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10273512718890 is an abundant number, since it is smaller than the sum of its proper divisors (17221424047830).

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

10273512718890 is a wasteful number, since it uses less digits than its factorization.

10273512718890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137365084 (or 137365078 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 10273512718890 in words is "ten trillion, two hundred seventy-three billion, five hundred twelve million, seven hundred eighteen thousand, eight hundred ninety".