87945016302 has 160 divisors (see below), whose sum is σ = 231751152864. Its totient is φ = 24574752000.

The previous prime is 87945016259. The next prime is 87945016337. The reversal of 87945016302 is 20361054978.

87945016302 is a `hidden beast` number, since 8 + 7 + 9 + 4 + 5 + 0 + 1 + 630 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44037568 + ... + 44039564.

It is a 2-persistent number, because it is pandigital, and so is 2⋅87945016302 = 175890032604, but 3⋅87945016302 = 263835048906 is not.

Almost surely, 2^87945016302 is an apocalyptic number.

87945016302 is the 148278-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87945016302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115875576432).

87945016302 is an abundant number, since it is smaller than the sum of its proper divisors (143806136562).

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

87945016302 is a wasteful number, since it uses less digits than its factorization.

87945016302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 87945016302 in words is "eighty-seven billion, nine hundred forty-five million, sixteen thousand, three hundred two".