10587204486144 has 1320 divisors, whose sum is σ = 38955276093888. Its totient is φ = 2818317680640.

The previous prime is 10587204486139. The next prime is 10587204486163. The reversal of 10587204486144 is 44168440278501.

10587204486144 is a `hidden beast` number, since 1 + 0 + 5 + 87 + 20 + 448 + 61 + 44 = 666.

It is a super-2 number, since 2×10587204486144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53742154654 + ... + 53742154850.

Almost surely, 2^{10587204486144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10587204486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477638046944).

10587204486144 is an abundant number, since it is smaller than the sum of its proper divisors (28368071607744).

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

10587204486144 is a wasteful number, since it uses less digits than its factorization.

10587204486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 10587204486144 in words is "ten trillion, five hundred eighty-seven billion, two hundred four million, four hundred eighty-six thousand, one hundred forty-four".