1006885902150 has 480 divisors, whose sum is σ = 2988854415360. Its totient is φ = 250607105280.

The previous prime is 1006885902067. The next prime is 1006885902161. The reversal of 1006885902150 is 512095886001.

It is a happy number.

1006885902150 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 8 + 590 + 2 + 1 + 50 = 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 = 1006885902096 and 1006885902105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1925211789 + ... + 1925212311.

It is an arithmetic number, because the mean of its divisors is an integer number (6226780032).

Almost surely, 2^{1006885902150} is an apocalyptic number.

1006885902150 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 1006885902150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494427207680).

1006885902150 is an abundant number, since it is smaller than the sum of its proper divisors (1981968513210).

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

1006885902150 is a wasteful number, since it uses less digits than its factorization.

1006885902150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1006885902150 in words is "one trillion, six billion, eight hundred eighty-five million, nine hundred two thousand, one hundred fifty".