87518638080000 has 1280 divisors, whose sum is σ = 326358134467200. Its totient is φ = 23171235840000.

The previous prime is 87518638079969. The next prime is 87518638080037. The reversal of 87518638080000 is 8083681578.

It is a happy number.

87518638080000 is a `hidden beast` number, since 8 + 7 + 5 + 186 + 380 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×87518638080000² (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 79 ways as a sum of consecutive naturals, for example, 90132479515 + ... + 90132480485.

Almost surely, 2^{87518638080000} is an apocalyptic number.

87518638080000 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 87518638080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163179067233600).

87518638080000 is an abundant number, since it is smaller than the sum of its proper divisors (238839496387200).

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

87518638080000 is an frugal number, since it uses more digits than its factorization.

87518638080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1144 counting only the distinct ones).

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

The spelling of 87518638080000 in words is "eighty-seven trillion, five hundred eighteen billion, six hundred thirty-eight million, eighty thousand".