87494261184 has 168 divisors, whose sum is σ = 283718617728. Its totient is φ = 26513360640.

The previous prime is 87494261159. The next prime is 87494261237. The reversal of 87494261184 is 48116249478.

87494261184 is a `hidden beast` number, since 87 + 494 + 2 + 61 + 18 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87494261184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84652 + ... + 426795.

It is an arithmetic number, because the mean of its divisors is an integer number (1688801296).

Almost surely, 2^87494261184 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 87494261184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141859308864).

87494261184 is an abundant number, since it is smaller than the sum of its proper divisors (196224356544).

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

87494261184 is a wasteful number, since it uses less digits than its factorization.

87494261184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511485 (or 511463 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 87494261184 in words is "eighty-seven billion, four hundred ninety-four million, two hundred sixty-one thousand, one hundred eighty-four".