1960672057600 has 243 divisors, whose sum is σ = 5079817411459. Its totient is φ = 749184409600.

The previous prime is 1960672057559. The next prime is 1960672057609. The reversal of 1960672057600 is 67502760691.

The square root of 1960672057600 is 1400240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1157053040896 + 803619016704 = 1075664^2 + 896448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1960672057609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2576441220 + ... + 2576441980.

Almost surely, 2^{1960672057600} is an apocalyptic number.

1960672057600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1960672057600 is the 1400240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960672057600

1960672057600 is an abundant number, since it is smaller than the sum of its proper divisors (3119145353859).

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

1960672057600 is an frugal number, since it uses more digits than its factorization.

1960672057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 1960672057600 by its sum of digits (49), we get a square (96072930822400 = 9801680²).

The spelling of 1960672057600 in words is "one trillion, nine hundred sixty billion, six hundred seventy-two million, fifty-seven thousand, six hundred".