86639936040000 has 2100 divisors, whose sum is σ = 374598238392576. Its totient is φ = 19736172288000.

The previous prime is 86639936039893. The next prime is 86639936040013. The reversal of 86639936040000 is 4063993668.

It is a happy number.

86639936040000 is a `hidden beast` number, since 8 + 66 + 39 + 93 + 60 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

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

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 58264919257 + ... + 58264920743.

Almost surely, 2^{86639936040000} is an apocalyptic number.

86639936040000 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 86639936040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187299119196288).

86639936040000 is an abundant number, since it is smaller than the sum of its proper divisors (287958302352576).

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

86639936040000 is a wasteful number, since it uses less digits than its factorization.

86639936040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 86639936040000 in words is "eighty-six trillion, six hundred thirty-nine billion, nine hundred thirty-six million, forty thousand".