1951875871680 has 448 divisors, whose sum is σ = 7163939220480. Its totient is φ = 441028608000.

The previous prime is 1951875871679. The next prime is 1951875871691. The reversal of 1951875871680 is 861785781591.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516504031 + ... + 516507809.

It is an arithmetic number, because the mean of its divisors is an integer number (15990935760).

Almost surely, 2^{1951875871680} is an apocalyptic number.

1951875871680 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 1951875871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581969610240).

1951875871680 is an abundant number, since it is smaller than the sum of its proper divisors (5212063348800).

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

1951875871680 is a wasteful number, since it uses less digits than its factorization.

1951875871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 66.

The spelling of 1951875871680 in words is "one trillion, nine hundred fifty-one billion, eight hundred seventy-five million, eight hundred seventy-one thousand, six hundred eighty".