87685011800064 has 3264 divisors, whose sum is σ = 351151162675200. Its totient is φ = 21403533312000.

The previous prime is 87685011800053. The next prime is 87685011800077. The reversal of 87685011800064 is 46000811058678.

It is a happy number.

87685011800064 is a `hidden beast` number, since 8 + 7 + 68 + 501 + 18 + 0 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a super-2 number, since 2×87685011800064² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 868168433614 + ... + 868168433714.

It is an arithmetic number, because the mean of its divisors is an integer number (107583076800).

Almost surely, 2^{87685011800064} is an apocalyptic number.

87685011800064 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 87685011800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175575581337600).

87685011800064 is an abundant number, since it is smaller than the sum of its proper divisors (263466150875136).

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

87685011800064 is a wasteful number, since it uses less digits than its factorization.

87685011800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 87685011800064 in words is "eighty-seven trillion, six hundred eighty-five billion, eleven million, eight hundred thousand, sixty-four".