87458866560000 has 3520 divisors, whose sum is σ = 379310501785600. Its totient is φ = 19707494400000.

The previous prime is 87458866559957. The next prime is 87458866560001. The reversal of 87458866560000 is 6566885478.

87458866560000 is a `hidden beast` number, since 8 + 7 + 4 + 5 + 8 + 8 + 66 + 560 + 0 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87458866560000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87458866560001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 132312959670 + ... + 132312960330.

It is an arithmetic number, because the mean of its divisors is an integer number (107758665280).

Almost surely, 2^{87458866560000} is an apocalyptic number.

87458866560000 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 87458866560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189655250892800).

87458866560000 is an abundant number, since it is smaller than the sum of its proper divisors (291851635225600).

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

87458866560000 is a wasteful number, since it uses less digits than its factorization.

87458866560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 87458866560000 in words is "eighty-seven trillion, four hundred fifty-eight billion, eight hundred sixty-six million, five hundred sixty thousand".