87350107538241 has 40 divisors (see below), whose sum is σ = 130885126750400. Its totient is φ = 58055394811680.

The previous prime is 87350107538171. The next prime is 87350107538303. The reversal of 87350107538241 is 14283570105378.

87350107538241 is a `hidden beast` number, since 8 + 7 + 3 + 50 + 10 + 7 + 538 + 2 + 41 = 666.

It is not a de Polignac number, because 87350107538241 - 2¹⁴ = 87350107521857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87350107538041) by changing a digit.

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, 72744396 + ... + 73935426.

It is an arithmetic number, because the mean of its divisors is an integer number (3272128168760).

Almost surely, 2^{87350107538241} is an apocalyptic number.

87350107538241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

87350107538241 is a deficient number, since it is larger than the sum of its proper divisors (43535019212159).

87350107538241 is a wasteful number, since it uses less digits than its factorization.

87350107538241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193811 (or 1193802 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 87350107538241 in words is "eighty-seven trillion, three hundred fifty billion, one hundred seven million, five hundred thirty-eight thousand, two hundred forty-one".