87673110661120 has 96 divisors (see below), whose sum is σ = 210380335565400. Its totient is φ = 35066536787968.

The previous prime is 87673110661109. The next prime is 87673110661127. The reversal of 87673110661120 is 2116601137678.

It can be written as a sum of positive squares in 4 ways, for example, as 37548070011904 + 50125040649216 = 6127648^2 + 7079904^2 .

It is not an unprimeable number, because it can be changed into a prime (87673110661127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135018186 + ... + 135665974.

Almost surely, 2^{87673110661120} is an apocalyptic number.

87673110661120 is a gapful number since it is divisible by the number (80) 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 87673110661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105190167782700).

87673110661120 is an abundant number, since it is smaller than the sum of its proper divisors (122707224904280).

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

87673110661120 is a wasteful number, since it uses less digits than its factorization.

87673110661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661033 (or 661013 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Adding to 87673110661120 its reverse (2116601137678), we get a palindrome (89789711798798).

The spelling of 87673110661120 in words is "eighty-seven trillion, six hundred seventy-three billion, one hundred ten million, six hundred sixty-one thousand, one hundred twenty".