87947268514560 has 2304 divisors, whose sum is σ = 399680596869120. Its totient is φ = 17813425029120.

The previous prime is 87947268514549. The next prime is 87947268514571. The reversal of 87947268514560 is 6541586274978.

87947268514560 is a `hidden beast` number, since 8 + 7 + 9 + 4 + 7 + 2 + 6 + 8 + 51 + 4 + 560 = 666.

87947268514560 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (87947268514549) and next prime (87947268514571).

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 12381703969 + ... + 12381711071.

It is an arithmetic number, because the mean of its divisors is an integer number (173472481280).

Almost surely, 2^{87947268514560} is an apocalyptic number.

87947268514560 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 87947268514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199840298434560).

87947268514560 is an abundant number, since it is smaller than the sum of its proper divisors (311733328354560).

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

87947268514560 is a wasteful number, since it uses less digits than its factorization.

87947268514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 87947268514560 in words is "eighty-seven trillion, nine hundred forty-seven billion, two hundred sixty-eight million, five hundred fourteen thousand, five hundred sixty".