1687045600080 has 120 divisors (see below), whose sum is σ = 5668445053440. Its totient is φ = 449657798400.

The previous prime is 1687045600043. The next prime is 1687045600081. The reversal of 1687045600080 is 800065407861.

It is a happy number.

1687045600080 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 0 + 4 + 560 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1687045600080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1687045599999 and 1687045600035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687045600081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893505 + ... + 2042655.

It is an arithmetic number, because the mean of its divisors is an integer number (47237042112).

Almost surely, 2^{1687045600080} is an apocalyptic number.

1687045600080 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 1687045600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834222526720).

1687045600080 is an abundant number, since it is smaller than the sum of its proper divisors (3981399453360).

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

1687045600080 is a wasteful number, since it uses less digits than its factorization.

1687045600080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151209 (or 1151200 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1687045600080 in words is "one trillion, six hundred eighty-seven billion, forty-five million, six hundred thousand, eighty".