87554574016 has 112 divisors (see below), whose sum is σ = 215253498880. Its totient is φ = 34407244800.

The previous prime is 87554573971. The next prime is 87554574067. The reversal of 87554574016 is 61047545578.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×87554574016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829645 + ... + 929203.

It is an arithmetic number, because the mean of its divisors is an integer number (1921906240).

Almost surely, 2^87554574016 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 87554574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107626749440).

87554574016 is an abundant number, since it is smaller than the sum of its proper divisors (127698924864).

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

87554574016 is a wasteful number, since it uses less digits than its factorization.

87554574016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99742 (or 99732 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 52.

The spelling of 87554574016 in words is "eighty-seven billion, five hundred fifty-four million, five hundred seventy-four thousand, sixteen".