1061015510560 has 96 divisors (see below), whose sum is σ = 2574781301232. Its totient is φ = 412874035200.

The previous prime is 1061015510551. The next prime is 1061015510561. The reversal of 1061015510560 is 650155101601.

It can be written as a sum of positive squares in 8 ways, for example, as 894757079056 + 166258431504 = 945916^2 + 407748^2 .

It is a super-2 number, since 2×1061015510560² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061015510561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76319610 + ... + 76333510.

Almost surely, 2^{1061015510560} is an apocalyptic number.

1061015510560 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 1061015510560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287390650616).

1061015510560 is an abundant number, since it is smaller than the sum of its proper divisors (1513765790672).

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

1061015510560 is a wasteful number, since it uses less digits than its factorization.

1061015510560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26846 (or 26838 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 1061015510560 in words is "one trillion, sixty-one billion, fifteen million, five hundred ten thousand, five hundred sixty".