87565271040000 has 1320 divisors, whose sum is σ = 341018744938872. Its totient is φ = 21516779520000.

The previous prime is 87565271039971. The next prime is 87565271040001. The reversal of 87565271040000 is 4017256578.

87565271040000 is a `hidden beast` number, since 8 + 75 + 6 + 527 + 10 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87565271040001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153354239715 + ... + 153354240285.

Almost surely, 2^{87565271040000} is an apocalyptic number.

87565271040000 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 87565271040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170509372469436).

87565271040000 is an abundant number, since it is smaller than the sum of its proper divisors (253453473898872).

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

87565271040000 is an frugal number, since it uses more digits than its factorization.

87565271040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

Adding to 87565271040000 its reverse (4017256578), we get a palindrome (87569288296578).

The spelling of 87565271040000 in words is "eighty-seven trillion, five hundred sixty-five billion, two hundred seventy-one million, forty thousand".