272522426400 has 1440 divisors, whose sum is σ = 1211132482560. Its totient is φ = 58249082880.

The previous prime is 272522426387. The next prime is 272522426401. The reversal of 272522426400 is 4624225272.

272522426400 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 2 + 2 + 4 + 2 + 640 + 0 = 666.

272522426400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (272522426401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 887695047 + ... + 887695353.

It is an arithmetic number, because the mean of its divisors is an integer number (841064224).

Almost surely, 2^272522426400 is an apocalyptic number.

272522426400 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 272522426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605566241280).

272522426400 is an abundant number, since it is smaller than the sum of its proper divisors (938610056160).

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

272522426400 is a wasteful number, since it uses less digits than its factorization.

272522426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 272522426400 in words is "two hundred seventy-two billion, five hundred twenty-two million, four hundred twenty-six thousand, four hundred".