1994088045600 has 2592 divisors, whose sum is σ = 9405573629760. Its totient is φ = 405078589440.

The previous prime is 1994088045577. The next prime is 1994088045601. The reversal of 1994088045600 is 65408804991.

1994088045600 is a `hidden beast` number, since 199 + 408 + 8 + 0 + 45 + 6 + 0 + 0 = 666.

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 (1994088045601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6495400647 + ... + 6495400953.

It is an arithmetic number, because the mean of its divisors is an integer number (3628693530).

Almost surely, 2^{1994088045600} is an apocalyptic number.

1994088045600 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 1994088045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702786814880).

1994088045600 is an abundant number, since it is smaller than the sum of its proper divisors (7411485584160).

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

1994088045600 is a wasteful number, since it uses less digits than its factorization.

1994088045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1994088045600 in words is "one trillion, nine hundred ninety-four billion, eighty-eight million, forty-five thousand, six hundred".