87210406080 has 672 divisors, whose sum is σ = 362344679424. Its totient is φ = 19551227904.

The previous prime is 87210406069. The next prime is 87210406091. The reversal of 87210406080 is 8060401278.

87210406080 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 0 + 40 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87210406069) and next prime (87210406091).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28847449 + ... + 28850471.

It is an arithmetic number, because the mean of its divisors is an integer number (539203392).

Almost surely, 2^87210406080 is an apocalyptic number.

87210406080 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 87210406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181172339712).

87210406080 is an abundant number, since it is smaller than the sum of its proper divisors (275134273344).

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

87210406080 is a wasteful number, since it uses less digits than its factorization.

87210406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 87210406080 in words is "eighty-seven billion, two hundred ten million, four hundred six thousand, eighty".