1992856440600 has 384 divisors, whose sum is σ = 7243250688000. Its totient is φ = 502608522240.

The previous prime is 1992856440583. The next prime is 1992856440607. The reversal of 1992856440600 is 60446582991.

1992856440600 is a `hidden beast` number, since 1 + 9 + 9 + 28 + 5 + 6 + 4 + 4 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992856440607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10963657 + ... + 11143943.

It is an arithmetic number, because the mean of its divisors is an integer number (18862632000).

Almost surely, 2^{1992856440600} is an apocalyptic number.

1992856440600 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 1992856440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621625344000).

1992856440600 is an abundant number, since it is smaller than the sum of its proper divisors (5250394247400).

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

1992856440600 is a wasteful number, since it uses less digits than its factorization.

1992856440600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180424 (or 180409 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1992856440600 in words is "one trillion, nine hundred ninety-two billion, eight hundred fifty-six million, four hundred forty thousand, six hundred".