19772666256096 has 540 divisors, whose sum is σ = 64058378037192. Its totient is φ = 5980319175168.

The previous prime is 19772666256019. The next prime is 19772666256097. The reversal of 19772666256096 is 69065266627791.

It is a super-2 number, since 2×19772666256096² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19772666256097) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1524838605 + ... + 1524851571.

Almost surely, 2^{19772666256096} is an apocalyptic number.

19772666256096 is a gapful number since it is divisible by the number (16) 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 19772666256096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32029189018596).

19772666256096 is an abundant number, since it is smaller than the sum of its proper divisors (44285711781096).

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

19772666256096 is a wasteful number, since it uses less digits than its factorization.

19772666256096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 19772666256096 in words is "nineteen trillion, seven hundred seventy-two billion, six hundred sixty-six million, two hundred fifty-six thousand, ninety-six".