87335027570880 has 672 divisors, whose sum is σ = 309812249755008. Its totient is φ = 22567359283200.

The previous prime is 87335027570867. The next prime is 87335027570933. The reversal of 87335027570880 is 8807572053378.

87335027570880 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 50 + 2 + 7 + 570 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21009145762 + ... + 21009149918.

It is an arithmetic number, because the mean of its divisors is an integer number (461030133564).

Almost surely, 2^{87335027570880} is an apocalyptic number.

87335027570880 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 87335027570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154906124877504).

87335027570880 is an abundant number, since it is smaller than the sum of its proper divisors (222477222184128).

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

87335027570880 is a wasteful number, since it uses less digits than its factorization.

87335027570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 87335027570880 in words is "eighty-seven trillion, three hundred thirty-five billion, twenty-seven million, five hundred seventy thousand, eight hundred eighty".