20193772749696 has 2304 divisors, whose sum is σ = 78897938595840. Its totient is φ = 5024031547392.

The previous prime is 20193772749679. The next prime is 20193772749697. The reversal of 20193772749696 is 69694727739102.

It is a happy number.

20193772749696 is a `hidden beast` number, since 2 + 0 + 19 + 37 + 7 + 2 + 7 + 496 + 96 = 666.

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 (20193772749697) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90555034641 + ... + 90555034863.

It is an arithmetic number, because the mean of its divisors is an integer number (34243896960).

Almost surely, 2^{20193772749696} is an apocalyptic number.

20193772749696 is a gapful number since it is divisible by the number (26) 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 20193772749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39448969297920).

20193772749696 is an abundant number, since it is smaller than the sum of its proper divisors (58704165846144).

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

20193772749696 is a wasteful number, since it uses less digits than its factorization.

20193772749696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 20193772749696 in words is "twenty trillion, one hundred ninety-three billion, seven hundred seventy-two million, seven hundred forty-nine thousand, six hundred ninety-six".