1680967415292 has 192 divisors, whose sum is σ = 4480745472000. Its totient is φ = 485843904000.

The previous prime is 1680967415269. The next prime is 1680967415321. The reversal of 1680967415292 is 2925147690861.

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, 193633192 + ... + 193641872.

It is an arithmetic number, because the mean of its divisors is an integer number (23337216000).

Almost surely, 2^{1680967415292} is an apocalyptic number.

1680967415292 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 1680967415292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240372736000).

1680967415292 is an abundant number, since it is smaller than the sum of its proper divisors (2799778056708).

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

1680967415292 is a wasteful number, since it uses less digits than its factorization.

1680967415292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 1680967415292 in words is "one trillion, six hundred eighty billion, nine hundred sixty-seven million, four hundred fifteen thousand, two hundred ninety-two".