1994152809600 has 576 divisors, whose sum is σ = 8137508184000. Its totient is φ = 455503749120.

The previous prime is 1994152809563. The next prime is 1994152809641. The reversal of 1994152809600 is 69082514991.

1994152809600 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 1 + 5 + 28 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471540286 + ... + 471544514.

It is an arithmetic number, because the mean of its divisors is an integer number (14127618375).

Almost surely, 2^{1994152809600} is an apocalyptic number.

1994152809600 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 1994152809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068754092000).

1994152809600 is an abundant number, since it is smaller than the sum of its proper divisors (6143355374400).

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

1994152809600 is a wasteful number, since it uses less digits than its factorization.

1994152809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1994152809600 in words is "one trillion, nine hundred ninety-four billion, one hundred fifty-two million, eight hundred nine thousand, six hundred".