20162412607680 has 2016 divisors, whose sum is σ = 86715459792000. Its totient is φ = 4272234430464.

The previous prime is 20162412607639. The next prime is 20162412607699. The reversal of 20162412607680 is 8670621426102.

20162412607680 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 24 + 12 + 607 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74953206586 + ... + 74953206854.

Almost surely, 2^{20162412607680} is an apocalyptic number.

20162412607680 is a gapful number since it is divisible by the number (20) 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 20162412607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43357729896000).

20162412607680 is an abundant number, since it is smaller than the sum of its proper divisors (66553047184320).

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

20162412607680 is a wasteful number, since it uses less digits than its factorization.

20162412607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20162412607680 in words is "twenty trillion, one hundred sixty-two billion, four hundred twelve million, six hundred seven thousand, six hundred eighty".