11373561661600 has 288 divisors, whose sum is σ = 28337926256640. Its totient is φ = 4456785162240.

The previous prime is 11373561661591. The next prime is 11373561661621. The reversal of 11373561661600 is 616616537311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6839182369 + ... + 6839184031.

It is an arithmetic number, because the mean of its divisors is an integer number (98395577280).

Almost surely, 2^{11373561661600} is an apocalyptic number.

11373561661600 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 11373561661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14168963128320).

11373561661600 is an abundant number, since it is smaller than the sum of its proper divisors (16964364595040).

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

11373561661600 is a wasteful number, since it uses less digits than its factorization.

11373561661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 11373561661600 in words is "eleven trillion, three hundred seventy-three billion, five hundred sixty-one million, six hundred sixty-one thousand, six hundred".