86527711641600 has 2280 divisors, whose sum is σ = 353044128402240. Its totient is φ = 20853156741120.

The previous prime is 86527711641593. The next prime is 86527711641601. The reversal of 86527711641600 is 614611772568.

86527711641600 is a `hidden beast` number, since 8 + 6 + 5 + 27 + 7 + 1 + 1 + 6 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2280).

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

It is not an unprimeable number, because it can be changed into a prime (86527711641601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 231977779014 + ... + 231977779386.

Almost surely, 2^{86527711641600} is an apocalyptic number.

86527711641600 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 86527711641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176522064201120).

86527711641600 is an abundant number, since it is smaller than the sum of its proper divisors (266516416760640).

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

86527711641600 is an equidigital number, since it uses as much as digits as its factorization.

86527711641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 86527711641600 in words is "eighty-six trillion, five hundred twenty-seven billion, seven hundred eleven million, six hundred forty-one thousand, six hundred".