87524264040 has 128 divisors (see below), whose sum is σ = 278150112000. Its totient is φ = 21956456448.

The previous prime is 87524264039. The next prime is 87524264041. The reversal of 87524264040 is 4046242578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87524264039) and next prime (87524264041).

It is a junction number, because it is equal to n+sod(n) for n = 87524263983 and 87524264001.

It is not an unprimeable number, because it can be changed into a prime (87524264041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4864581 + ... + 4882539.

It is an arithmetic number, because the mean of its divisors is an integer number (2173047750).

Almost surely, 2^87524264040 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 87524264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139075056000).

87524264040 is an abundant number, since it is smaller than the sum of its proper divisors (190625847960).

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

87524264040 is a wasteful number, since it uses less digits than its factorization.

87524264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20375 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 87524264040 in words is "eighty-seven billion, five hundred twenty-four million, two hundred sixty-four thousand, forty".