1961987114880 has 512 divisors, whose sum is σ = 7542252748800. Its totient is φ = 479140945920.

The previous prime is 1961987114863. The next prime is 1961987114911. The reversal of 1961987114880 is 884117891691.

1961987114880 is a `hidden beast` number, since 1 + 9 + 61 + 9 + 87 + 11 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28494895 + ... + 28563665.

It is an arithmetic number, because the mean of its divisors is an integer number (14730962400).

Almost surely, 2^{1961987114880} is an apocalyptic number.

1961987114880 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 1961987114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771126374400).

1961987114880 is an abundant number, since it is smaller than the sum of its proper divisors (5580265633920).

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

1961987114880 is a wasteful number, since it uses less digits than its factorization.

1961987114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68939 (or 68921 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 63.

The spelling of 1961987114880 in words is "one trillion, nine hundred sixty-one billion, nine hundred eighty-seven million, one hundred fourteen thousand, eight hundred eighty".