10607286610944 has 352 divisors, whose sum is σ = 32201045856000. Its totient is φ = 3447251435520.

The previous prime is 10607286610919. The next prime is 10607286611027. The reversal of 10607286610944 is 44901668270601.

10607286610944 is a `hidden beast` number, since 1 + 0 + 607 + 28 + 6 + 6 + 1 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×10607286610944² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3059498299 + ... + 3059501765.

Almost surely, 2^{10607286610944} 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 10607286610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100522928000).

10607286610944 is an abundant number, since it is smaller than the sum of its proper divisors (21593759245056).

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

10607286610944 is a wasteful number, since it uses less digits than its factorization.

10607286610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10607286610944 in words is "ten trillion, six hundred seven billion, two hundred eighty-six million, six hundred ten thousand, nine hundred forty-four".