1961582751800 has 192 divisors, whose sum is σ = 5513334266880. Its totient is φ = 634488560640.

The previous prime is 1961582751769. The next prime is 1961582751809. The reversal of 1961582751800 is 81572851691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961582751809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933349 + ... + 2767851.

It is an arithmetic number, because the mean of its divisors is an integer number (28715282640).

Almost surely, 2^{1961582751800} is an apocalyptic number.

1961582751800 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 1961582751800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756667133440).

1961582751800 is an abundant number, since it is smaller than the sum of its proper divisors (3551751515080).

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

1961582751800 is a wasteful number, since it uses less digits than its factorization.

1961582751800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834622 (or 834613 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 53.

The spelling of 1961582751800 in words is "one trillion, nine hundred sixty-one billion, five hundred eighty-two million, seven hundred fifty-one thousand, eight hundred".