19539772342272 has 1920 divisors, whose sum is σ = 74298445056000. Its totient is φ = 5112769019904.

The previous prime is 19539772342199. The next prime is 19539772342333. The reversal of 19539772342272 is 27224327793591.

19539772342272 is a `hidden beast` number, since 1 + 9 + 5 + 397 + 7 + 234 + 2 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×19539772342272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (80015040) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 153856475073 + ... + 153856475199.

It is an arithmetic number, because the mean of its divisors is an integer number (38697106800).

Almost surely, 2^{19539772342272} is an apocalyptic number.

19539772342272 is a gapful number since it is divisible by the number (12) 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 19539772342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149222528000).

19539772342272 is an abundant number, since it is smaller than the sum of its proper divisors (54758672713728).

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

19539772342272 is an frugal number, since it uses more digits than its factorization.

19539772342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 152 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 19539772342272 in words is "nineteen trillion, five hundred thirty-nine billion, seven hundred seventy-two million, three hundred forty-two thousand, two hundred seventy-two".