11678103763200 has 432 divisors, whose sum is σ = 48939910284160. Its totient is φ = 2669280583680.

The previous prime is 11678103763199. The next prime is 11678103763201. The reversal of 11678103763200 is 236730187611.

11678103763200 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 8 + 1 + 0 + 3 + 7 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11678103763199) and next prime (11678103763201).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11678103763201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617659 + ... + 6036858.

Almost surely, 2^{11678103763200} is an apocalyptic number.

11678103763200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11678103763200 is an abundant number, since it is smaller than the sum of its proper divisors (37261806520960).

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

11678103763200 is an equidigital number, since it uses as much as digits as its factorization.

11678103763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9654559 (or 9654534 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11678103763200 in words is "eleven trillion, six hundred seventy-eight billion, one hundred three million, seven hundred sixty-three thousand, two hundred".