87543450251400 has 384 divisors, whose sum is σ = 320448058761600. Its totient is φ = 19490696601600.

The previous prime is 87543450251311. The next prime is 87543450251401. The reversal of 87543450251400 is 415205434578.

87543450251400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 87543450251400.

It is not an unprimeable number, because it can be changed into a prime (87543450251401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14312956 + ... + 19492244.

It is an arithmetic number, because the mean of its divisors is an integer number (834500153025).

Almost surely, 2^{87543450251400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87543450251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160224029380800).

87543450251400 is an abundant number, since it is smaller than the sum of its proper divisors (232904608510200).

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

87543450251400 is a wasteful number, since it uses less digits than its factorization.

87543450251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179529 (or 5179520 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

Adding to 87543450251400 its reverse (415205434578), we get a palindrome (87958655685978).

The spelling of 87543450251400 in words is "eighty-seven trillion, five hundred forty-three billion, four hundred fifty million, two hundred fifty-one thousand, four hundred".