87781848000 has 448 divisors, whose sum is σ = 361386095616. Its totient is φ = 18240000000.

The previous prime is 87781847947. The next prime is 87781848031. The reversal of 87781848000 is 84818778.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1824250 + ... + 1871750.

It is an arithmetic number, because the mean of its divisors is an integer number (806665392).

Almost surely, 2^87781848000 is an apocalyptic number.

87781848000 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 87781848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180693047808).

87781848000 is an abundant number, since it is smaller than the sum of its proper divisors (273604247616).

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

87781848000 is a wasteful number, since it uses less digits than its factorization.

87781848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47549 (or 47529 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 51.

The spelling of 87781848000 in words is "eighty-seven billion, seven hundred eighty-one million, eight hundred forty-eight thousand".