87849566784 has 168 divisors, whose sum is σ = 288974345088. Its totient is φ = 24995450880.

The previous prime is 87849566767. The next prime is 87849566797. The reversal of 87849566784 is 48766594878.

87849566784 is a `hidden beast` number, since 8 + 7 + 8 + 495 + 66 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×87849566784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926509 + ... + 1016915.

Almost surely, 2^87849566784 is an apocalyptic number.

87849566784 is a gapful number since it is divisible by the number (84) 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 87849566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144487172544).

87849566784 is an abundant number, since it is smaller than the sum of its proper divisors (201124778304).

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

87849566784 is a wasteful number, since it uses less digits than its factorization.

87849566784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90673 (or 90660 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 87849566784 in words is "eighty-seven billion, eight hundred forty-nine million, five hundred sixty-six thousand, seven hundred eighty-four".