10661299488 has 384 divisors, whose sum is σ = 38051596800. Its totient is φ = 2834694144.

The previous prime is 10661299487. The next prime is 10661299489. The reversal of 10661299488 is 88499216601.

10661299488 is a `hidden beast` number, since 1 + 0 + 66 + 12 + 99 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (10661299487) and next prime (10661299489).

It is a super-2 number, since 2×10661299488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10661299487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9972618 + ... + 9973686.

It is an arithmetic number, because the mean of its divisors is an integer number (99092700).

Almost surely, 2^10661299488 is an apocalyptic number.

10661299488 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 10661299488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025798400).

10661299488 is an abundant number, since it is smaller than the sum of its proper divisors (27390297312).

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

10661299488 is a wasteful number, since it uses less digits than its factorization.

10661299488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10661299488 in words is "ten billion, six hundred sixty-one million, two hundred ninety-nine thousand, four hundred eighty-eight".