87680945352 has 768 divisors, whose sum is σ = 314031513600. Its totient is φ = 20197900800.

The previous prime is 87680945351. The next prime is 87680945411. The reversal of 87680945352 is 25354908678.

It is a junction number, because it is equal to n+sod(n) for n = 87680945292 and 87680945301.

It is not an unprimeable number, because it can be changed into a prime (87680945351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630798099 + ... + 630798237.

It is an arithmetic number, because the mean of its divisors is an integer number (408895200).

Almost surely, 2^87680945352 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 87680945352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157015756800).

87680945352 is an abundant number, since it is smaller than the sum of its proper divisors (226350568248).

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

87680945352 is a wasteful number, since it uses less digits than its factorization.

87680945352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 87680945352 in words is "eighty-seven billion, six hundred eighty million, nine hundred forty-five thousand, three hundred fifty-two".