87603005952 has 600 divisors, whose sum is σ = 331896882240. Its totient is φ = 22748221440.

The previous prime is 87603005909. The next prime is 87603006011. The reversal of 87603005952 is 25950030678.

It is a happy number.

It is a super-4 number, since 4×87603005952⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 87603005898 and 87603005907.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22351449 + ... + 22355367.

Almost surely, 2^87603005952 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 87603005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165948441120).

87603005952 is an abundant number, since it is smaller than the sum of its proper divisors (244293876288).

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

87603005952 is a wasteful number, since it uses less digits than its factorization.

87603005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 87603005952 in words is "eighty-seven billion, six hundred three million, five thousand, nine hundred fifty-two".