10601616000 has 256 divisors, whose sum is σ = 36008219520. Its totient is φ = 2757632000.

The previous prime is 10601615993. The next prime is 10601616019. The reversal of 10601616000 is 61610601.

It is a super-2 number, since 2×10601616000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965307 + ... + 1970693.

Almost surely, 2^10601616000 is an apocalyptic number.

10601616000 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 10601616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004109760).

10601616000 is an abundant number, since it is smaller than the sum of its proper divisors (25406603520).

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

10601616000 is an equidigital number, since it uses as much as digits as its factorization.

10601616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 10601616000 in words is "ten billion, six hundred one million, six hundred sixteen thousand".