87119664141312 has 704 divisors, whose sum is σ = 285758946662400. Its totient is φ = 26323688448000.

The previous prime is 87119664141233. The next prime is 87119664141331. The reversal of 87119664141312 is 21314146691178.

87119664141312 is a `hidden beast` number, since 8 + 7 + 1 + 1 + 96 + 6 + 414 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8843733187 + ... + 8843743037.

Almost surely, 2^{87119664141312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87119664141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142879473331200).

87119664141312 is an abundant number, since it is smaller than the sum of its proper divisors (198639282521088).

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

87119664141312 is an equidigital number, since it uses as much as digits as its factorization.

87119664141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10226 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 87119664141312 in words is "eighty-seven trillion, one hundred nineteen billion, six hundred sixty-four million, one hundred forty-one thousand, three hundred twelve".