1687438725120 has 832 divisors, whose sum is σ = 6420747974400. Its totient is φ = 419152527360.

The previous prime is 1687438725113. The next prime is 1687438725131. The reversal of 1687438725120 is 215278347861.

1687438725120 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 4 + 387 + 251 + 2 + 0 = 666.

It is a super-2 number, since 2×1687438725120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 640879324 + ... + 640881956.

Almost surely, 2^{1687438725120} is an apocalyptic number.

1687438725120 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 1687438725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210373987200).

1687438725120 is an abundant number, since it is smaller than the sum of its proper divisors (4733309249280).

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

1687438725120 is a wasteful number, since it uses less digits than its factorization.

1687438725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1687438725120 in words is "one trillion, six hundred eighty-seven billion, four hundred thirty-eight million, seven hundred twenty-five thousand, one hundred twenty".