20697387079680 has 480 divisors, whose sum is σ = 75230934498720. Its totient is φ = 5441551073280.

The previous prime is 20697387079643. The next prime is 20697387079703. The reversal of 20697387079680 is 8697078379602.

20697387079680 is a `hidden beast` number, since 20 + 69 + 7 + 387 + 0 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20697387079680² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20697387079599 and 20697387079608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58714512 + ... + 59065968.

It is an arithmetic number, because the mean of its divisors is an integer number (156731113539).

Almost surely, 2^{20697387079680} is an apocalyptic number.

20697387079680 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 20697387079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37615467249360).

20697387079680 is an abundant number, since it is smaller than the sum of its proper divisors (54533547419040).

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

20697387079680 is an equidigital number, since it uses as much as digits as its factorization.

20697387079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351567 (or 351538 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 20697387079680 in words is "twenty trillion, six hundred ninety-seven billion, three hundred eighty-seven million, seventy-nine thousand, six hundred eighty".