1960803936000 has 3456 divisors, whose sum is σ = 9593592293376. Its totient is φ = 386983526400.

The previous prime is 1960803935971. The next prime is 1960803936023. The reversal of 1960803936000 is 6393080691.

1960803936000 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 8 + 0 + 39 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12029471919 + ... + 12029472081.

It is an arithmetic number, because the mean of its divisors is an integer number (2775923696).

Almost surely, 2^{1960803936000} is an apocalyptic number.

1960803936000 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 1960803936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796796146688).

1960803936000 is an abundant number, since it is smaller than the sum of its proper divisors (7632788357376).

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

1960803936000 is a wasteful number, since it uses less digits than its factorization.

1960803936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1960803936000 in words is "one trillion, nine hundred sixty billion, eight hundred three million, nine hundred thirty-six thousand".