87727334276000 has 384 divisors, whose sum is σ = 232818502984704. Its totient is φ = 32368685875200.

The previous prime is 87727334275969. The next prime is 87727334276069. The reversal of 87727334276000 is 67243372778.

It is a happy 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, 679323437 + ... + 679452563.

It is an arithmetic number, because the mean of its divisors is an integer number (606298184856).

Almost surely, 2^{87727334276000} is an apocalyptic number.

87727334276000 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 87727334276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409251492352).

87727334276000 is an abundant number, since it is smaller than the sum of its proper divisors (145091168708704).

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

87727334276000 is a wasteful number, since it uses less digits than its factorization.

87727334276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129369 (or 129351 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 56.

The spelling of 87727334276000 in words is "eighty-seven trillion, seven hundred twenty-seven billion, three hundred thirty-four million, two hundred seventy-six thousand".