272271031718400 has 2160 divisors, whose sum is σ = 1161308461671072. Its totient is φ = 60383232000000.

The previous prime is 272271031718353. The next prime is 272271031718407. The reversal of 272271031718400 is 4817130172272.

272271031718400 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 71 + 0 + 3 + 171 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (272271031718407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24199712775 + ... + 24199724025.

Almost surely, 2^{272271031718400} is an apocalyptic number.

272271031718400 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 272271031718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580654230835536).

272271031718400 is an abundant number, since it is smaller than the sum of its proper divisors (889037429952672).

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

272271031718400 is a wasteful number, since it uses less digits than its factorization.

272271031718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 272271031718400 in words is "two hundred seventy-two trillion, two hundred seventy-one billion, thirty-one million, seven hundred eighteen thousand, four hundred".