10661625000 has 504 divisors, whose sum is σ = 40362959910. Its totient is φ = 2624400000.

The previous prime is 10661624993. The next prime is 10661625049. The reversal of 10661625000 is 52616601.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 7681120164 + 2980504836 = 87642^2 + 54594^2 .

It is a super-2 number, since 2×10661625000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 820124994 + ... + 820125006.

Almost surely, 2^10661625000 is an apocalyptic number.

10661625000 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 10661625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20181479955).

10661625000 is an abundant number, since it is smaller than the sum of its proper divisors (29701334910).

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

10661625000 is an frugal number, since it uses more digits than its factorization.

10661625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10661625000 in words is "ten billion, six hundred sixty-one million, six hundred twenty-five thousand".