1687299951120 has 1280 divisors, whose sum is σ = 6620833382400. Its totient is φ = 354405832704.

The previous prime is 1687299951119. The next prime is 1687299951131. The reversal of 1687299951120 is 211599927861.

It is a super-3 number, since 3×1687299951120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5962190499 + ... + 5962190781.

It is an arithmetic number, because the mean of its divisors is an integer number (5172526080).

Almost surely, 2^{1687299951120} is an apocalyptic number.

1687299951120 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 1687299951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310416691200).

1687299951120 is an abundant number, since it is smaller than the sum of its proper divisors (4933533431280).

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

1687299951120 is a wasteful number, since it uses less digits than its factorization.

1687299951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 60.

The spelling of 1687299951120 in words is "one trillion, six hundred eighty-seven billion, two hundred ninety-nine million, nine hundred fifty-one thousand, one hundred twenty".