1901716992000 has 2496 divisors, whose sum is σ = 8611322803200. Its totient is φ = 393884467200.

The previous prime is 1901716991969. The next prime is 1901716992103. The reversal of 1901716992000 is 2996171091.

1901716992000 is a `hidden beast` number, since 190 + 171 + 6 + 99 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17773055947 + ... + 17773056053.

It is an arithmetic number, because the mean of its divisors is an integer number (3450049200).

Almost surely, 2^{1901716992000} is an apocalyptic number.

1901716992000 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 1901716992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305661401600).

1901716992000 is an abundant number, since it is smaller than the sum of its proper divisors (6709605811200).

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

1901716992000 is a wasteful number, since it uses less digits than its factorization.

1901716992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 1901716992000 in words is "one trillion, nine hundred one billion, seven hundred sixteen million, nine hundred ninety-two thousand".