4275527911200 has 2880 divisors, whose sum is σ = 20868744314880. Its totient is φ = 826371072000.

The previous prime is 4275527911199. The next prime is 4275527911223. The reversal of 4275527911200 is 21197255724.

4275527911200 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 527 + 9 + 112 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3473214585 + ... + 3473215815.

It is an arithmetic number, because the mean of its divisors is an integer number (7246091776).

Almost surely, 2^{4275527911200} is an apocalyptic number.

4275527911200 is a gapful number since it is divisible by the number (40) 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 4275527911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434372157440).

4275527911200 is an abundant number, since it is smaller than the sum of its proper divisors (16593216403680).

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

4275527911200 is a wasteful number, since it uses less digits than its factorization.

4275527911200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 4275527911200 in words is "four trillion, two hundred seventy-five billion, five hundred twenty-seven million, nine hundred eleven thousand, two hundred".