27266333952 has 576 divisors, whose sum is σ = 91479628800. Its totient is φ = 7086735360.

The previous prime is 27266333921. The next prime is 27266333959. The reversal of 27266333952 is 25933366272.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27266333959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152325799 + ... + 152325977.

It is an arithmetic number, because the mean of its divisors is an integer number (158818800).

Almost surely, 2^27266333952 is an apocalyptic number.

27266333952 is a gapful number since it is divisible by the number (22) 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 27266333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45739814400).

27266333952 is an abundant number, since it is smaller than the sum of its proper divisors (64213294848).

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

27266333952 is a wasteful number, since it uses less digits than its factorization.

27266333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 48.

The spelling of 27266333952 in words is "twenty-seven billion, two hundred sixty-six million, three hundred thirty-three thousand, nine hundred fifty-two".