10927072047150 has 864 divisors, whose sum is σ = 36659647507392. Its totient is φ = 2318367744000.

The previous prime is 10927072047097. The next prime is 10927072047163. The reversal of 10927072047150 is 5174027072901.

10927072047150 is a `hidden beast` number, since 1 + 0 + 92 + 70 + 7 + 20 + 471 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10927072047096 and 10927072047105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15030360087 + ... + 15030360813.

It is an arithmetic number, because the mean of its divisors is an integer number (42430147578).

Almost surely, 2^{10927072047150} is an apocalyptic number.

10927072047150 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 10927072047150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329823753696).

10927072047150 is an abundant number, since it is smaller than the sum of its proper divisors (25732575460242).

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

10927072047150 is a wasteful number, since it uses less digits than its factorization.

10927072047150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 10927072047150 in words is "ten trillion, nine hundred twenty-seven billion, seventy-two million, forty-seven thousand, one hundred fifty".