11551561650000 has 180 divisors, whose sum is σ = 40407826288284. Its totient is φ = 3080416320000.

The previous prime is 11551561649959. The next prime is 11551561650017. The reversal of 11551561650000 is 5616515511.

It is a happy number.

11551561650000 is a `hidden beast` number, since 1 + 1 + 551 + 56 + 1 + 6 + 50 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10994556166416 + 557005483584 = 3315804^2 + 746328^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12385069 + ... + 13285068.

Almost surely, 2^{11551561650000} is an apocalyptic number.

11551561650000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11551561650000 is an abundant number, since it is smaller than the sum of its proper divisors (28856264638284).

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

11551561650000 is an equidigital number, since it uses as much as digits as its factorization.

11551561650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25670176 (or 25670147 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 11551561650000 in words is "eleven trillion, five hundred fifty-one billion, five hundred sixty-one million, six hundred fifty thousand".