10477099618560 has 432 divisors, whose sum is σ = 36780885872640. Its totient is φ = 2752995409920.

The previous prime is 10477099618553. The next prime is 10477099618589. The reversal of 10477099618560 is 6581699077401.

10477099618560 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 0 + 9 + 9 + 61 + 8 + 560 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2641061697 + ... + 2641065663.

It is an arithmetic number, because the mean of its divisors is an integer number (85140939520).

Almost surely, 2^{10477099618560} is an apocalyptic number.

10477099618560 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 10477099618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390442936320).

10477099618560 is an abundant number, since it is smaller than the sum of its proper divisors (26303786254080).

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

10477099618560 is a wasteful number, since it uses less digits than its factorization.

10477099618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 10477099618560 in words is "ten trillion, four hundred seventy-seven billion, ninety-nine million, six hundred eighteen thousand, five hundred sixty".