10487669044320 has 864 divisors, whose sum is σ = 41662448755200. Its totient is φ = 2393621508096.

The previous prime is 10487669044309. The next prime is 10487669044337. The reversal of 10487669044320 is 2344096678401.

10487669044320 is a `hidden beast` number, since 1 + 0 + 48 + 76 + 6 + 90 + 443 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217296351 + ... + 217344609.

It is an arithmetic number, because the mean of its divisors is an integer number (48220426800).

Almost surely, 2^{10487669044320} is an apocalyptic number.

10487669044320 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 10487669044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20831224377600).

10487669044320 is an abundant number, since it is smaller than the sum of its proper divisors (31174779710880).

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

10487669044320 is a wasteful number, since it uses less digits than its factorization.

10487669044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48372 (or 48348 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 10487669044320 in words is "ten trillion, four hundred eighty-seven billion, six hundred sixty-nine million, forty-four thousand, three hundred twenty".