27272202048 has 504 divisors, whose sum is σ = 98654250240. Its totient is φ = 7139543040.

The previous prime is 27272202047. The next prime is 27272202053. The reversal of 27272202048 is 84020227272.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27272202047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87691813 + ... + 87692123.

It is an arithmetic number, because the mean of its divisors is an integer number (195742560).

Almost surely, 2^27272202048 is an apocalyptic number.

27272202048 is a gapful number since it is divisible by the number (28) 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 27272202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327125120).

27272202048 is an abundant number, since it is smaller than the sum of its proper divisors (71382048192).

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

27272202048 is a wasteful number, since it uses less digits than its factorization.

27272202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 27272202048 in words is "twenty-seven billion, two hundred seventy-two million, two hundred two thousand, forty-eight".