10617600000 has 576 divisors, whose sum is σ = 40947379200. Its totient is φ = 2396160000.

The previous prime is 10617599989. The next prime is 10617600013. The reversal of 10617600000 is 671601.

It is a super-2 number, since 2×10617600000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10617600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134399961 + ... + 134400039.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^10617600000 is an apocalyptic number.

10617600000 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 10617600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

10617600000 is an abundant number, since it is smaller than the sum of its proper divisors (30329779200).

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

10617600000 is an frugal number, since it uses more digits than its factorization.

10617600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 10617600000 in words is "ten billion, six hundred seventeen million, six hundred thousand".