10087800261561 has 48 divisors (see below), whose sum is σ = 15912368828928. Its totient is φ = 6107497459200.

The previous prime is 10087800261559. The next prime is 10087800261589. The reversal of 10087800261561 is 16516200878001.

10087800261561 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 7 + 80 + 0 + 2 + 6 + 1 + 561 = 666.

It is not a de Polignac number, because 10087800261561 - 2¹ = 10087800261559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10087800261541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644703640 + ... + 644719286.

It is an arithmetic number, because the mean of its divisors is an integer number (331507683936).

Almost surely, 2^{10087800261561} is an apocalyptic number.

10087800261561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10087800261561 is a deficient number, since it is larger than the sum of its proper divisors (5824568567367).

10087800261561 is a wasteful number, since it uses less digits than its factorization.

10087800261561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21982 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10087800261561 in words is "ten trillion, eighty-seven billion, eight hundred million, two hundred sixty-one thousand, five hundred sixty-one".