19706300006400 has 1428 divisors, whose sum is σ = 83776508464752. Its totient is φ = 4502386114560.

The previous prime is 19706300006387. The next prime is 19706300006413. The reversal of 19706300006400 is 460000360791.

19706300006400 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 6 + 3 + 0 + 0 + 0 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19706300006387) and next prime (19706300006413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8360754022 + ... + 8360756378.

Almost surely, 2^{19706300006400} is an apocalyptic number.

19706300006400 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 19706300006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41888254232376).

19706300006400 is an abundant number, since it is smaller than the sum of its proper divisors (64070208458352).

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

19706300006400 is an frugal number, since it uses more digits than its factorization.

19706300006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 19706300006400 in words is "nineteen trillion, seven hundred six billion, three hundred million, six thousand, four hundred".