87054770880 has 672 divisors, whose sum is σ = 374570426880. Its totient is φ = 18028707840.

The previous prime is 87054770839. The next prime is 87054770921. The reversal of 87054770880 is 8807745078.

It is an interprime number because it is at equal distance from previous prime (87054770839) and next prime (87054770921).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101343891 + ... + 101344749.

Almost surely, 2^87054770880 is an apocalyptic number.

87054770880 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 87054770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187285213440).

87054770880 is an abundant number, since it is smaller than the sum of its proper divisors (287515656000).

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

87054770880 is a wasteful number, since it uses less digits than its factorization.

87054770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 87054770880 in words is "eighty-seven billion, fifty-four million, seven hundred seventy thousand, eight hundred eighty".