1961701822080 has 4096 divisors, whose sum is σ = 10107224064000. Its totient is φ = 346135265280.

The previous prime is 1961701822079. The next prime is 1961701822103. The reversal of 1961701822080 is 802281071691.

1961701822080 is a `hidden beast` number, since 1 + 9 + 617 + 0 + 1 + 8 + 2 + 20 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15446470977 + ... + 15446471103.

It is an arithmetic number, because the mean of its divisors is an integer number (2467584000).

Almost surely, 2^{1961701822080} is an apocalyptic number.

1961701822080 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 1961701822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053612032000).

1961701822080 is an abundant number, since it is smaller than the sum of its proper divisors (8145522241920).

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

1961701822080 is a wasteful number, since it uses less digits than its factorization.

1961701822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1961701822080 in words is "one trillion, nine hundred sixty-one billion, seven hundred one million, eight hundred twenty-two thousand, eighty".