87578955360 has 576 divisors, whose sum is σ = 331495452288. Its totient is φ = 20921352192.

The previous prime is 87578955349. The next prime is 87578955361. The reversal of 87578955360 is 6355987578.

87578955360 is a `hidden beast` number, since 8 + 7 + 5 + 7 + 8 + 95 + 536 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87578955361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102192052 + ... + 102192908.

It is an arithmetic number, because the mean of its divisors is an integer number (575512938).

Almost surely, 2^87578955360 is an apocalyptic number.

87578955360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87578955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165747726144).

87578955360 is an abundant number, since it is smaller than the sum of its proper divisors (243916496928).

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

87578955360 is a wasteful number, since it uses less digits than its factorization.

87578955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 87578955360 in words is "eighty-seven billion, five hundred seventy-eight million, nine hundred fifty-five thousand, three hundred sixty".