10342726781850 has 288 divisors, whose sum is σ = 31175711948160. Its totient is φ = 2442908160000.

The previous prime is 10342726781773. The next prime is 10342726781897. The reversal of 10342726781850 is 5818762724301.

10342726781850 is a `hidden beast` number, since 1 + 0 + 3 + 427 + 2 + 67 + 81 + 85 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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, 21712230 + ... + 22183470.

It is an arithmetic number, because the mean of its divisors is an integer number (108248999820).

Almost surely, 2^{10342726781850} is an apocalyptic number.

10342726781850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342726781850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587855974080).

10342726781850 is an abundant number, since it is smaller than the sum of its proper divisors (20832985166310).

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

10342726781850 is a wasteful number, since it uses less digits than its factorization.

10342726781850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471446 (or 471438 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10342726781850 in words is "ten trillion, three hundred forty-two billion, seven hundred twenty-six million, seven hundred eighty-one thousand, eight hundred fifty".