87220227744000 has 2592 divisors, whose sum is σ = 362114410039200. Its totient is φ = 20033961984000.

The previous prime is 87220227743953. The next prime is 87220227744079. The reversal of 87220227744000 is 44772202278.

It can be written as a sum of positive squares in 48 ways, for example, as 75072381882624 + 12147845861376 = 8664432^2 + 3485376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161220383730 + ... + 161220384270.

Almost surely, 2^{87220227744000} is an apocalyptic number.

87220227744000 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 87220227744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181057205019600).

87220227744000 is an abundant number, since it is smaller than the sum of its proper divisors (274894182295200).

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

87220227744000 is a wasteful number, since it uses less digits than its factorization.

87220227744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

Adding to 87220227744000 its reverse (44772202278), we get a palindrome (87264999946278).

The spelling of 87220227744000 in words is "eighty-seven trillion, two hundred twenty billion, two hundred twenty-seven million, seven hundred forty-four thousand".