1896855746240 has 1792 divisors, whose sum is σ = 6434254848000. Its totient is φ = 526727577600.

The previous prime is 1896855746231. The next prime is 1896855746281. The reversal of 1896855746240 is 426475586981.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31095995810 + ... + 31095995870.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544000).

Almost surely, 2^{1896855746240} is an apocalyptic number.

1896855746240 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 1896855746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217127424000).

1896855746240 is an abundant number, since it is smaller than the sum of its proper divisors (4537399101760).

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

1896855746240 is a wasteful number, since it uses less digits than its factorization.

1896855746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 65.

The spelling of 1896855746240 in words is "one trillion, eight hundred ninety-six billion, eight hundred fifty-five million, seven hundred forty-six thousand, two hundred forty".