1680787525032 has 480 divisors, whose sum is σ = 5920782067200. Its totient is φ = 436059106560.

The previous prime is 1680787525009. The next prime is 1680787525111. The reversal of 1680787525032 is 2305257870861.

1680787525032 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 7 + 87 + 52 + 503 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1680787525032.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 784314153 + ... + 784316295.

It is an arithmetic number, because the mean of its divisors is an integer number (12334962640).

Almost surely, 2^{1680787525032} is an apocalyptic number.

1680787525032 is a gapful number since it is divisible by the number (12) 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 1680787525032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960391033600).

1680787525032 is an abundant number, since it is smaller than the sum of its proper divisors (4239994542168).

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

1680787525032 is a wasteful number, since it uses less digits than its factorization.

1680787525032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1680787525032 in words is "one trillion, six hundred eighty billion, seven hundred eighty-seven million, five hundred twenty-five thousand, thirty-two".