87125216954440 has 256 divisors, whose sum is σ = 229422494361600. Its totient is φ = 29163442176000.

The previous prime is 87125216954381. The next prime is 87125216954441. The reversal of 87125216954440 is 4445961252178.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87125216954441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923662480 + ... + 923756800.

It is an arithmetic number, because the mean of its divisors is an integer number (896181618600).

Almost surely, 2^{87125216954440} 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 87125216954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114711247180800).

87125216954440 is an abundant number, since it is smaller than the sum of its proper divisors (142297277407160).

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

87125216954440 is a wasteful number, since it uses less digits than its factorization.

87125216954440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94896 (or 94892 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 87125216954440 in words is "eighty-seven trillion, one hundred twenty-five billion, two hundred sixteen million, nine hundred fifty-four thousand, four hundred forty".