10678132170090 has 512 divisors, whose sum is σ = 37608617779200. Its totient is φ = 2087258664960.

The previous prime is 10678132170071. The next prime is 10678132170113. The reversal of 10678132170090 is 9007123187601.

10678132170090 is a `hidden beast` number, since 106 + 78 + 1 + 321 + 70 + 0 + 90 = 666.

10678132170090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10678132170090² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 826666312 + ... + 826679228.

It is an arithmetic number, because the mean of its divisors is an integer number (73454331600).

Almost surely, 2^{10678132170090} is an apocalyptic number.

10678132170090 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 10678132170090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804308889600).

10678132170090 is an abundant number, since it is smaller than the sum of its proper divisors (26930485609110).

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

10678132170090 is a wasteful number, since it uses less digits than its factorization.

10678132170090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307 (or 15301 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10678132170090 in words is "ten trillion, six hundred seventy-eight billion, one hundred thirty-two million, one hundred seventy thousand, ninety".