87225949980 has 480 divisors, whose sum is σ = 301212172800. Its totient is φ = 21001047552.

The previous prime is 87225949969. The next prime is 87225949981. The reversal of 87225949980 is 8994952278.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87225949981) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 242969041 + ... + 242969399.

It is an arithmetic number, because the mean of its divisors is an integer number (627525360).

Almost surely, 2^87225949980 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 87225949980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150606086400).

87225949980 is an abundant number, since it is smaller than the sum of its proper divisors (213986222820).

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

87225949980 is a wasteful number, since it uses less digits than its factorization.

87225949980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 87225949980 in words is "eighty-seven billion, two hundred twenty-five million, nine hundred forty-nine thousand, nine hundred eighty".