87227959104 has 840 divisors, whose sum is σ = 322758633120. Its totient is φ = 23074191360.

The previous prime is 87227959087. The next prime is 87227959109. The reversal of 87227959104 is 40195972278.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87227959109) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 154933927 + ... + 154934489.

It is an arithmetic number, because the mean of its divisors is an integer number (384236468).

Almost surely, 2^87227959104 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 87227959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161379316560).

87227959104 is an abundant number, since it is smaller than the sum of its proper divisors (235530674016).

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

87227959104 is a wasteful number, since it uses less digits than its factorization.

87227959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 87227959104 in words is "eighty-seven billion, two hundred twenty-seven million, nine hundred fifty-nine thousand, one hundred four".