84587648086440 has 192 divisors, whose sum is σ = 284216546165760. Its totient is φ = 21795329710080.

The previous prime is 84587648086433. The next prime is 84587648086451. The reversal of 84587648086440 is 4468084678548.

84587648086440 is a `hidden beast` number, since 8 + 4 + 5 + 87 + 6 + 480 + 8 + 64 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363072 + ... + 13077968.

It is an arithmetic number, because the mean of its divisors is an integer number (1480294511280).

Almost surely, 2^{84587648086440} 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 84587648086440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142108273082880).

84587648086440 is an abundant number, since it is smaller than the sum of its proper divisors (199628898079320).

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

84587648086440 is a wasteful number, since it uses less digits than its factorization.

84587648086440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715592 (or 11715585 counting only the distinct ones).

The product of its (nonzero) digits is 1321205760, while the sum is 72.

The spelling of 84587648086440 in words is "eighty-four trillion, five hundred eighty-seven billion, six hundred forty-eight million, eighty-six thousand, four hundred forty".