87050098255680 has 1344 divisors, whose sum is σ = 386217980928000. Its totient is φ = 17516451004416.

The previous prime is 87050098255643. The next prime is 87050098255751. The reversal of 87050098255680 is 8655289005078.

87050098255680 is a `hidden beast` number, since 8 + 70 + 5 + 0 + 0 + 9 + 8 + 2 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 514338111 + ... + 514507329.

Almost surely, 2^{87050098255680} is an apocalyptic number.

87050098255680 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 87050098255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193108990464000).

87050098255680 is an abundant number, since it is smaller than the sum of its proper divisors (299167882672320).

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

87050098255680 is a wasteful number, since it uses less digits than its factorization.

87050098255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169364 (or 169351 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 87050098255680 in words is "eighty-seven trillion, fifty billion, ninety-eight million, two hundred fifty-five thousand, six hundred eighty".