10080087201360 has 720 divisors, whose sum is σ = 38772929677248. Its totient is φ = 2326960742400.

The previous prime is 10080087201347. The next prime is 10080087201377. The reversal of 10080087201360 is 6310278008001.

10080087201360 is a `hidden beast` number, since 10 + 0 + 8 + 0 + 0 + 87 + 201 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486222195 + ... + 486242925.

Almost surely, 2^{10080087201360} is an apocalyptic number.

10080087201360 is a gapful number since it is divisible by the number (10) 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 10080087201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386464838624).

10080087201360 is an abundant number, since it is smaller than the sum of its proper divisors (28692842475888).

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

10080087201360 is a wasteful number, since it uses less digits than its factorization.

10080087201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20854 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10080087201360 in words is "ten trillion, eighty billion, eighty-seven million, two hundred one thousand, three hundred sixty".