1020150910080 has 320 divisors, whose sum is σ = 3675404403000. Its totient is φ = 269631258624.

The previous prime is 1020150910057. The next prime is 1020150910091. The reversal of 1020150910080 is 800190510201.

It can be written as a sum of positive squares in 4 ways, for example, as 416272716864 + 603878193216 = 645192^2 + 777096^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5770846 + ... + 5944994.

Almost surely, 2^{1020150910080} is an apocalyptic number.

1020150910080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020150910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837702201500).

1020150910080 is an abundant number, since it is smaller than the sum of its proper divisors (2655253492920).

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

1020150910080 is a wasteful number, since it uses less digits than its factorization.

1020150910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174293 (or 174272 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1020150910080 in words is "one trillion, twenty billion, one hundred fifty million, nine hundred ten thousand, eighty".