272354166117240 has 576 divisors, whose sum is σ = 868123270815840. Its totient is φ = 68352142602240.

The previous prime is 272354166117191. The next prime is 272354166117247. The reversal of 272354166117240 is 42711661453272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272354166117247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114386460850 + ... + 114386463230.

Almost surely, 2^{272354166117240} is an apocalyptic number.

272354166117240 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 272354166117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434061635407920).

272354166117240 is an abundant number, since it is smaller than the sum of its proper divisors (595769104698600).

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

272354166117240 is a wasteful number, since it uses less digits than its factorization.

272354166117240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 272354166117240 in words is "two hundred seventy-two trillion, three hundred fifty-four billion, one hundred sixty-six million, one hundred seventeen thousand, two hundred forty".