10865157594480 has 800 divisors, whose sum is σ = 44118477950976. Its totient is φ = 2426560063488.

The previous prime is 10865157594407. The next prime is 10865157594497. The reversal of 10865157594480 is 8449575156801.

10865157594480 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 51 + 57 + 59 + 4 + 480 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1379348302 + ... + 1379356178.

Almost surely, 2^{10865157594480} is an apocalyptic number.

10865157594480 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 10865157594480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22059238975488).

10865157594480 is an abundant number, since it is smaller than the sum of its proper divisors (33253320356496).

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

10865157594480 is a wasteful number, since it uses less digits than its factorization.

10865157594480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603 (or 8588 counting only the distinct ones).

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

The spelling of 10865157594480 in words is "ten trillion, eight hundred sixty-five billion, one hundred fifty-seven million, five hundred ninety-four thousand, four hundred eighty".