1960940912896 has 81 divisors (see below), whose sum is σ = 4553642741151. Its totient is φ = 840336032256.

The previous prime is 1960940912891. The next prime is 1960940912929. The reversal of 1960940912896 is 6982190490691.

The square root of 1960940912896 is 1400336.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1960940912891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156831381 + ... + 156843883.

Almost surely, 2^{1960940912896} is an apocalyptic number.

1960940912896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1960940912896 is the 1400336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960940912896

1960940912896 is an abundant number, since it is smaller than the sum of its proper divisors (2592701828255).

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

1960940912896 is an frugal number, since it uses more digits than its factorization.

1960940912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25036 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 64.

Multiplying 1960940912896 by its sum of digits (64), we get a square (125500218425344 = 11202688²).

1960940912896 divided by its sum of digits (64) gives a square (30639701764 = 175042²).

The spelling of 1960940912896 in words is "one trillion, nine hundred sixty billion, nine hundred forty million, nine hundred twelve thousand, eight hundred ninety-six".