272550557873664 has 1120 divisors, whose sum is σ = 959717488435200. Its totient is φ = 77253816987648.

The previous prime is 272550557873623. The next prime is 272550557873677. The reversal of 272550557873664 is 466378755055272.

272550557873664 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 5 + 0 + 557 + 8 + 7 + 3 + 6 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 272550557873592 and 272550557873601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16259047747 + ... + 16259064509.

Almost surely, 2^{272550557873664} is an apocalyptic number.

272550557873664 is a gapful number since it is divisible by the number (24) 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 272550557873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479858744217600).

272550557873664 is an abundant number, since it is smaller than the sum of its proper divisors (687166930561536).

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

272550557873664 is an frugal number, since it uses more digits than its factorization.

272550557873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16947 (or 16902 counting only the distinct ones).

The product of its (nonzero) digits is 2963520000, while the sum is 72.

The spelling of 272550557873664 in words is "two hundred seventy-two trillion, five hundred fifty billion, five hundred fifty-seven million, eight hundred seventy-three thousand, six hundred sixty-four".