87720442214400 has 720 divisors, whose sum is σ = 325070366821200. Its totient is φ = 23379697336320.

The previous prime is 87720442214351. The next prime is 87720442214407. The reversal of 87720442214400 is 441224402778.

It is a happy number.

87720442214400 is a `hidden beast` number, since 8 + 7 + 7 + 20 + 4 + 4 + 2 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (87720442214407) 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, 9924245181 + ... + 9924254019.

It is an arithmetic number, because the mean of its divisors is an integer number (451486620585).

Almost surely, 2^{87720442214400} is an apocalyptic number.

87720442214400 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 87720442214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162535183410600).

87720442214400 is an abundant number, since it is smaller than the sum of its proper divisors (237349924606800).

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

87720442214400 is a wasteful number, since it uses less digits than its factorization.

87720442214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 87720442214400 in words is "eighty-seven trillion, seven hundred twenty billion, four hundred forty-two million, two hundred fourteen thousand, four hundred".