10617928409088 has 4032 divisors, whose sum is σ = 47247963863040. Its totient is φ = 2318716108800.

The previous prime is 10617928409069. The next prime is 10617928409147. The reversal of 10617928409088 is 88090482971601.

10617928409088 is a `hidden beast` number, since 1 + 0 + 61 + 7 + 92 + 8 + 409 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×10617928409088² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 342513819633 + ... + 342513819663.

Almost surely, 2^{10617928409088} is an apocalyptic number.

10617928409088 is a gapful number since it is divisible by the number (18) 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 10617928409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623981931520).

10617928409088 is an abundant number, since it is smaller than the sum of its proper divisors (36630035453952).

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

10617928409088 is a wasteful number, since it uses less digits than its factorization.

10617928409088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 10617928409088 in words is "ten trillion, six hundred seventeen billion, nine hundred twenty-eight million, four hundred nine thousand, eighty-eight".