10636376400000 has 2304 divisors, whose sum is σ = 45225100720800. Its totient is φ = 2374041600000.

The previous prime is 10636376399963. The next prime is 10636376400037. The reversal of 10636376400000 is 467363601.

It is a happy number.

10636376400000 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 3 + 7 + 640 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10636376399963) and next prime (10636376400037).

It can be written as a sum of positive squares in 48 ways, for example, as 10551946637376 + 84429762624 = 3248376^2 + 290568^2 .

It is a super-2 number, since 2×10636376400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23072399770 + ... + 23072400230.

Almost surely, 2^{10636376400000} is an apocalyptic number.

10636376400000 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 10636376400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22612550360400).

10636376400000 is an abundant number, since it is smaller than the sum of its proper divisors (34588724320800).

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

10636376400000 is a wasteful number, since it uses less digits than its factorization.

10636376400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10636376400000 in words is "ten trillion, six hundred thirty-six billion, three hundred seventy-six million, four hundred thousand".